Manifold Atlas:Bibliography 'W'

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W

• [Walczak2004] P. Walczak, Dynamics of foliations, groups and pseudogroups, Birkhäuser Verlag, 2004. MR2056374 (2005d:57042) Zbl 1084.37022
• [Waldhausen1978] F. Waldhausen, Algebraic $K$$\newcommand{\Z}{\mathbb{Z}} \newcommand{\R}{\mathbb{R}} \newcommand{\C}{\mathbb{C}} \newcommand{\N}{\mathbb{N}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\F}{\mathbb{F}} \newcommand{\bZ}{\mathbb{Z}} \newcommand{\bR}{\mathbb{R}} \newcommand{\bC}{\mathbb{C}} \newcommand{\bH}{\mathbb{H}} \newcommand{\bQ}{\mathbb{Q}} \newcommand{\bF}{\mathbb{F}} \newcommand{\bN}{\mathbb{N}} \DeclareMathOperator\id{id} % identity map \DeclareMathOperator\Sq{Sq} % Steenrod squares \DeclareMathOperator\Homeo{Homeo} % group of homeomorphisms of a topoloical space \DeclareMathOperator\Diff{Diff} % group of diffeomorphisms of a smooth manifold \DeclareMathOperator\SDiff{SDiff} % diffeomorphism under some constraint \DeclareMathOperator\Hom{Hom} % homomrphism group \DeclareMathOperator\End{End} % endomorphism group \DeclareMathOperator\Aut{Aut} % automorphism group \DeclareMathOperator\Inn{Inn} % inner automorphisms \DeclareMathOperator\Out{Out} % outer automorphism group \DeclareMathOperator\vol{vol} % volume \newcommand{\GL}{\text{GL}} % general linear group \newcommand{\SL}{\text{SL}} % special linear group \newcommand{\SO}{\text{SO}} % special orthogonal group \newcommand{\O}{\text{O}} % orthogonal group \newcommand{\SU}{\text{SU}} % special unitary group \newcommand{\Spin}{\text{Spin}} % Spin group \newcommand{\RP}{\Rr\mathrm P} % real projective space \newcommand{\CP}{\Cc\mathrm P} % complex projective space \newcommand{\HP}{\Hh\mathrm P} % quaternionic projective space \newcommand{\Top}{\mathrm{Top}} % topological category \newcommand{\PL}{\mathrm{PL}} % piecewise linear category \newcommand{\Cat}{\mathrm{Cat}} % any category \newcommand{\KS}{\text{KS}} % Kirby-Siebenmann class \newcommand{\Hud}{\text{Hud}} % Hudson torus \newcommand{\Ker}{\text{Ker}} % Kernel \newcommand{\underbar}{\underline} %Classifying Spaces for Families of Subgroups \newcommand{\textup}{\text} \newcommand{\sp}{^}K$-theory of topological spaces. I, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 1, Amer. Math. Soc. (1978), 35–60. MR520492 (81i:18014a) Zbl 0431.57004
• [Waldhausen1979] F. Waldhausen, Algebraic $K$$K$-theory of topological spaces. II, Algebraic topology, Aarhus 1978 (Proc. Sympos., Univ. Aarhus, Aarhus, 1978), Springer (1979), 356–394. MR561230 (81i:18014b) Zbl 0431.57004
• [Wall1960] C. T. C. Wall, Determination of the cobordism ring, Ann. of Math. (2) 72 (1960), 292–311. MR0120654 (22 #11403) Zbl 0097.38801
• [Wall1962] C. T. C. Wall, Killing the middle homotopy groups of odd dimensional manifolds, Trans. Amer. Math. Soc. 103 (1962), 421–433. MR0139185 (25 #2621) Zbl 0199.26803
• [Wall1962a] C. T. C. Wall, Classification of $(n-1)$$(n-1)$-connected $2n$$2n$-manifolds, Ann. of Math. (2) 75 (1962), 163–189. MR0145540 (26 #3071) Zbl 0218.57022
• [Wall1963] C. T. C. Wall, Quadratic forms on finite groups, and related topics, Topology 2 (1963), 281–298. MR0156890 (28 #133) Zbl 0215.39903
• [Wall1964] C. T. C. Wall, Diffeomorphisms of $4$$4$-manifolds, J. London Math. Soc. 39 (1964), 131–140. MR0163323 (29 #626) Zbl 0121.18101
• [Wall1965] C. T. C. Wall, Unknotting tori in codimension one and spheres in codimension two., Proc. Camb. Philos. Soc. 61 (1965), 659-664. MR0184249 (32 #1722) Zbl 0135.41602
• [Wall1965a] C. T. C. Wall, Finiteness conditions for $CW$$CW$-complexes, Ann. of Math. (2) 81 (1965), 56–69. MR0171284 (30 #1515) Zbl 0152.21902
• [Wall1966] C. T. C. Wall, Classification problems in differential topology. V. On certain $6$$6$-manifolds, Invent. Math. 1 (1966), 355-374; corrigendum, ibid 2 (1966), 306. MR0215313 (35 #6154) Zbl 0149.20601
• [Wall1966a] C. T. C. Wall, Classification problems in differential topology. IV. Thickenings, Topology 5 (1966), 73–94. MR0192509 (33 #734) Zbl 0149.20501
• [Wall1966b] C. T. C. Wall, Finiteness conditions for $CW$$CW$ complexes. II, Proc. Roy. Soc. Ser. A 295 (1966), 129–139. MR0211402 (35 #2283)Zbl 0152.21902
• [Wall1967] C. T. C. Wall, Classification problems in differential topology. VI. Classification of $(s-1)$$(s-1)$-connected $(2s+1)$$(2s+1)$-manifolds, Topology 6 (1967), 273–296. MR0216510 (35 #7343) Zbl 0173.26102
• [Wall1967a] C. T. C. Wall, Poincaré complexes. I, Ann. of Math. (2) 86 (1967), 213–245. MR0217791 (36 #880)
• [Wall1970] C. T. C. Wall, On the axiomatic foundations of the theory of Hermitian forms, Proc. Cambridge Philos. Soc. 67 (1970), 243–250. MR0251054 (40 #4285)
• [Wall1970a] C. T. C. Wall, On the classification of hermitian forms. I. Rings of algebraic integers, Compositio Math. 22 (1970), 425–451. MR0281710 (43 #7425) Zbl 0211.07602
• [Wall1970b] C. T. C. Wall, Surgery on compact manifolds, Academic Press, London, 1970. MR0431216 (55 #4217) Zbl 0935.57003
• [Wall1971] C. T. C. Wall, Geometrical connectivity. I, J. London Math. Soc. (2) 3 (1971), 597–604. MR0290387 (44 #7569a) Zbl 0214.22304
• [Wall1971a] C. T. C. Wall, Geometrical connectivity. II. Dimension $3$$3$, J. London Math. Soc. (2) 3 (1971), 605–608. MR0290388 (44 #7569b) Zbl 0214.22304
• [Wall1972] C. T. C. Wall, On the classification of Hermitian forms. II. Semisimple rings, Invent. Math. 18 (1972), 119–141. MR0323829 (48 #2184) Zbl 0242.10011
• [Wall1972a] C. T. C. Wall, Quadratic forms on finite groups. II, Bull. London Math. Soc. 4 (1972), 156–160. MR0322071 (48 #435) Zbl 0251.20024
• [Wall1973] C. T. C. Wall, On the classification of Hermitian forms. III. Complete semilocal rings, Invent. Math. 19 (1973), 59–71. MR0323830 (48 #2185) Zbl 0259.16013
• [Wall1974] C. T. C. Wall, On the classification of Hermitian forms. IV. Adele rings, Invent. Math. 23 (1974), 241–260. MR0424902 (54 #12860) Zbl 0278.16017
• [Wall1974a] C. T. C. Wall, On the classification of Hermitian forms. V. Global rings, Invent. Math. 23 (1974), 261–288. MR0424903 (54 #12861) Zbl 0278.16018
• [Wall1976] C. T. C. Wall, Classification of Hermitian Forms. VI. Group rings, Ann. of Math. (2) 103 (1976), no.1, 1–80. MR0432737 (55 #5720) Zbl 0328.18006
• [Wall1999] C. T. C. Wall, Surgery on compact manifolds, American Mathematical Society, Providence, RI, 1999. MR1687388 (2000a:57089) Zbl 0935.57003
• [Wallace1960] A. H. Wallace, Modifications and cobounding manifolds, Canad. J. Math. 12 (1960), 503–528. MR0125588 (23 #A2887) Zbl 0116.40401
• [Wallace1960a] A. H. Wallace, Modifications and cobounding manifolds, Canad. J. Math. 12 (1960), 503–528. MR0125588 (23 #A2887) Zbl 0116.40401
• [Wallace1961] A. H. Wallace, Modifications and cobounding manifolds. II, J. Math. Mech. 10 (1961), 773–809. MR0130695 (24 #A555) Zbl 0116.40401
• [Wallace1962] A. H. Wallace, Modifications and cobounding manifolds. III, J. Math. Mech. 11 (1962), 979–990. MR0145537 (26 #3068) Zbl 0116.40401
• [Wallace1963] A. H. Wallace, Modifications and cobounding manifolds. IV, J. Math. Mech. 12 (1963), 445–484. MR0154297 (27 #4246) Zbl 0116.40401
• [Wang1974] K. Wang, Free $S^1$$S^1$ actions and the group of diffeomorphisms, Trans. Amer. Math. Soc. 191 (1974), 113–127. MR0356106 (50 #8577)
• [Wang1975] K. Wang, Differentiable circle group actions on homotopy complex projective spaces, Math. Ann. 214 (1975), 73–80. MR0372895 (51 #9099) Zbl 0285.57025
• [Wang1995] Z. Wang, Classification of closed nonorientable $4$$4$-manifolds with infinite cyclic fundamental group, Math. Res. Lett. 2 (1995), no.3, 339–344. MR1338793 (96g:57024) Zbl 0844.57019
• [Wang2005] S. Wang, On orientability and degree of Fredholm maps, Michigan Math. J. 53 (2005), no. 2, 419–428. MR2152708 Zbl 1093.58003
• [Ward1936] A. J. Ward, The topological characterization of an open linear interval, Proc. London Math. Soc.(2) 41 (1936), 191-198. MR1577110 Zbl 62.0693.02
• [Weber&Seifert1933] C. Weber and H. Seifert, Die beiden Dodekaederräume, Math. Z. 37 (1933), no.1, 237–253. MR1545392 Zbl 0007.02806
• [Weber1967] C. Weber, Plongements de polyedres dans le domaine metastable, Comment. Math. Helv. 42 (1967), 1-27. MR0238330 (38 #6606) Zbl 0152.22402
• [Weibel1994] C. A. Weibel, An introduction to homological algebra, Cambridge University Press, 1994. MR1269324 (95f:18001) Zbl 0834.18001
• [Weinberger1990] S. Weinberger, On smooth surgery, Comm. Pure Appl. Math. 43 (1990), no.5, 695–696. MR1057237 (91c:57037) Zbl 0715.57011
• [Weiss96] M. Weiss, Calculus of Embeddings, Bull. Amer. Math. Soc. 33 (1996), 177-187.
• [Weiss99] M. Weiss, Embeddings from the point of view of immersion theory, I, Geom. and Topology 3 (1999), 67-101. Erratum in Geom. and Topology 15, 2011.
• [Weyl1916] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins., (German) Math. Ann. 77 (1916), 313-352. MR1511862 Zbl 46.0278.06
• [Weyl1924] H. Weyl, Análysis situs combinatorio, Revista Mat. Hispano-Americana 6, 1–9, 33–41 (1924). Zbl 50.0373.03
• [Weyl1925] H. Weyl, Riemanns geometrische Ideen, ihre Auswirkung und ihre Verknüpfung mit der Gruppentheorie, Eidgenössische Technische Hochschule Zürich (Switzerland). Berlin etc.: Springer-Verlag 1988. Zbl 0649.53002
• [Whitehead1934] J. H. C. Whitehead, Certain theorems about three-dimensional manifolds, Q. J. Math., Oxf. (1934), 308–320 Zbl 0010.27504
• [Whitehead1935] J. H. C. Whitehead, Three-dimensional manifolds (Corrigendum), Q. J. Math., Oxf. Ser. 6, 80 (1935). Zbl 0011.17803
• [Whitehead1941] J. H. C. Whitehead, On incidence matrices, nuclei and homotopy types, Ann. of Math. (2) 42 (1941), 1197–1239. MR0005352 (3,142b) Zbl 0063.08227
• [Whitehead1949] J. H. C. Whitehead, On simply connected, $4$$4$-dimensional polyhedra, Comment. Math. Helv. 22 (1949), 48–92. MR0029171 (10,559d) Zbl 0039.39503
• [Whitehead1950] J. H. C. Whitehead, Simple homotopy types, Amer. J. Math. 72 (1950), 1–57. MR0035437 (11,735c) Zbl 0040.38901
• [Whitehead1978] G. W. Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics, 61. Springer-Verlag, New York-Berlin, 1978. MR516508 (80b:55001) Zbl 0406.55001
• [Whitney1936] H. Whitney, Differentiable manifolds, Ann. of Math. (2) 37 (1936), no.3, 645–680. MR1503303 () Zbl 0063.08233
• [Whitney1937] H. Whitney, Topological properties of differentiable manifolds, Bull. Amer. Math. Soc. 43 (1937), no.12, 785–805. MR1563640 () Zbl 0018.23902
• [Whitney1940] H. Whitney, On the theory of sphere-bundles, Proc. Nat. Acad. Sci. U. S. A. 26 (1940), 148–153. MR0001338 (1,220b) Zbl 0023.17603
• [Whitney1941] H. Whitney, On the topology of differentiable manifolds, Lectures in Topology, University of Michigan Press (1941), 101–141. MR0005300 (3,133a) Zbl 0063.08233
• [Whitney1943] H. Whitney, The general type of singularity of a set of $2n-1$$2n-1$ smooth functions of $n$$n$ variables, Duke Math. J. 10 (1943), 161–172. MR0007784 (4,193b) Zbl 0061.37207
• [Whitney1944] H. Whitney, The self-intersections of a smooth $n$$n$-manifold in $2n$$2n$-space, Ann. of Math. (2) 45 (1944), 220–246. MR0010274 (5,273g) Zbl 0063.08237
• [Whitney1944a] H. Whitney, The singularities of a smooth $n$$n$-manifold in $(2n-1)$$(2n-1)$-space, Ann. of Math. (2) 45 (1944), 247–293. MR0010275 (5,274a) Zbl 0063.08238
• [Whitney1949] H. Whitney, Classification of the mappings of a $3$$3$-complex into a simply connected space, Ann. of Math. (2) 50 (1949), 270–284. MR0034020 (11,531c) Zbl 0040.25803
• [Whitney1992] H. Whitney, Collected papers. Vol. I, Birkhäuser Boston Inc., 1992. MR1138982 (93i:01033a) Zbl 0746.01016
• [Whitney1992a] H. Whitney, Collected papers. Vol. II, Birkhäuser Boston Inc., 1992. MR1138983 (93i:01033b) Zbl 0746.01016
• [Wilder1949] R. L. Wilder, Topology of Manifolds, American Mathematical Society, 1949. MR0598636 (82a:57001) Zbl 0511.57001
• [Wilder1963] R. L. Wilder, Topology of manifolds, American Mathematical Society, 1963. MR0598636 (82a:57001) Zbl 0511.57001
• [Wilder1979] R. L. Wilder, Topology of manifolds, American Mathematical Society, 1979. MR0598636 (82a:57001) Zbl 0511.57001
• [Wilkens1972] D. L. Wilkens, Closed $(s-1)$$(s-1)$-connected $(2s 1)$$(2s 1)$-manifolds, $s=3,\,7$$s=3,\,7$, Bull. London Math. Soc. 4 (1972), 27–31. MR0307258 (46 #6378) Zbl 0241.57018
• [Wilkens1974/75] D. L. Wilkens, On the inertia groups of certain manifolds, J. London Math. Soc. (2) 9 (1974/75), 537–548. MR0383435 (52 #4316)
• [Williamson1966] R. E. Williamson, Cobordism of combinatorial manifolds, Ann. of Math. (2) 83 (1966), 1–33. MR0184242 (32 #1715) Zbl 0137.42901
• [Winkelnkemper1973] H. E. Winkelnkemper, Manifolds as open books, Bull. Amer. Math. Soc. 79 (1973), 45–51. MR0310912 (46 #10010) Zbl 0269.57011
• [Winkelnkemper2002] H. E. Winkelnkemper, Artin presentations. I. Gauge theory, $3 1$$3 1$ TQFT's and the braid groups, J. Knot Theory Ramifications 11 (2002), no.2, 223–275. MR1895372 (2003b:57045) Zbl 0994.57026
• [Wolf1968] J. A. Wolf, Growth of finitely generated solvable groups and curvature of Riemanniann manifolds, J. Differential Geometry 2 (1968), 421–446. MR0248688 (40 #1939) Zbl 0207.51803
• [Wolf2011] J. A. Wolf, Spaces of constant curvature, AMS Chelsea Publishing, Providence, RI, 2011. MR2742530 (2011j:53001) Zbl 05830219
• [Wu1950] W. Wu, Classes caractéristiques et $i$$i$-carrés d'une variété, C. R. Acad. Sci. Paris, 230 (1950), 508–511. MR0035992 (12,42f) Zbl 0035.11002
• [Wu1955] W. Wu, On the realization of complexes in euclidean spaces. I, Acta Math. Sinica 5 (1955), 505–552. MR0076334 (17,883c) Zbl 0183.28302
• [Wu1957] W. Wu, On the realization of complexes in euclidean spaces. II, Acta Math. Sinica 7 (1957), 79–101. MR0097056 (20 #3536) Zbl 0136.44602
• [Wu1958] W. Wu, On the realization of complexes in euclidean spaces. I, Sci. Sinica 7 (1958), 251–297. MR0099026 (20 #5471) Zbl 0183.28302
• [Wu1958a] W. Wu, On the realization of complexes in euclidean spaces. II, Sci. Sinica 7 (1958), 365–387.
• [Wu1958b] W. Wu, On the realization of complexes in euclidean spaces. III, Acta Math. Sinica 8 (1958), 79–94. MR0098364 (20 #4825a) Zbl 0207.53104
• [Wu1958c] W. Wu, On the isotopy of $C^r$$C^r$-manifolds of dimension $n$$n$ in Euclidean $(2n+1)$$(2n+1)$-space, Science Records, New Ser. Vol. II (1958), 271–275.
• [Wu1959] W. Wu, On the realization of complexes in euclidean spaces. III, Sci. Sinica 8 (1959), 133–150. MR0098365 (20 #4825b) Zbl 0207.53104
• [Wu1965] W. T. Wu, A Theory of Embedding, Immersion and Isotopy of Polytopes in an Euclidean Space, Peking: Science Press, 1965.