Manifold Atlas:Bibliography 'S'

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• [Saeki1999] O. Saeki, On punctured 3-manifolds in 5-sphere, Hiroshima Math. J. 29 (1999) 255--272, MR1704247 (2000h:57045)

• [Sako1981] Y. Sako, Connected sum along the cycle operation of $S^p \times \tilde S^{n-p}$$This page lists all bibliography entries whose first author name begins with 'S'. You may also wish to use the following pages. * [[Manifold Atlas:Bibliography|Bibliography]] : [[Manifold Atlas:Bibliography 'A'|A]] [[Manifold Atlas:Bibliography 'B'|B]] [[Manifold Atlas:Bibliography 'C'|C]] [[Manifold Atlas:Bibliography 'D'|D]] [[Manifold Atlas:Bibliography 'E'|E]] [[Manifold Atlas:Bibliography 'F'|F]] [[Manifold Atlas:Bibliography 'G'|G]] [[Manifold Atlas:Bibliography 'H'|H]] [[Manifold Atlas:Bibliography 'I'|I]] [[Manifold Atlas:Bibliography 'J'|J]] [[Manifold Atlas:Bibliography 'K'|K]] [[Manifold Atlas:Bibliography 'L'|L]] [[Manifold Atlas:Bibliography 'M'|M]] [[Manifold Atlas:Bibliography 'N'|N]] [[Manifold Atlas:Bibliography 'O'|O]] [[Manifold Atlas:Bibliography 'P'|P]] [[Manifold Atlas:Bibliography 'Q'|Q]] [[Manifold Atlas:Bibliography 'R'|R]] [[Manifold Atlas:Bibliography 'S'|S]] [[Manifold Atlas:Bibliography 'T'|T]] [[Manifold Atlas:Bibliography 'U'|U]] [[Manifold Atlas:Bibliography 'V'|V]] [[Manifold Atlas:Bibliography 'W'|W]] [[Manifold Atlas:Bibliography 'X'|X]] [[Manifold Atlas:Bibliography 'Y'|Y]] [[Manifold Atlas:Bibliography 'Z'|Z]]. * [[Manifold Atlas:Full bibliography|Full bibliography]] (note this page is slow to load) * [[Manifold_Atlas:Addref|Auto-create a new bibitem]] {{bibsection|S}} <!--* [[:Category:Bibliography|Full bibliography]] (note this page is slow to load). * [[Manifold Atlas:Bibliography gateway|Bibliography gateway]]. * [http://www.map.him.uni-bonn.de/converter Autocreate a new bibitem]. -->S^p \times \tilde S^{n-p}$ on $\pi$$\pi$-manifolds, Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), no.10, 499–502. MR640259 (83a:57043) Zbl 0505.57010
• [Sarkaria1996] K. S. Sarkaria, A look back at Poincaré's ``Analysis situs´´, in: Henri Poincaré: science et philosophie (Nancy, 1994), Akademie Verlag (1996), 251–258. MR1384996 (97f:01020) Zbl 0851.01003
• [Sarkaria1999] K. S. Sarkaria, The topological work of Henri Poincaré, History of topology, 123–167, North-Holland, Amsterdam, 1999. MR674912 (000m:57001) Zbl 0959.54002
• [Scharlemann1977] M. Scharlemann, Isotopy and cobordism of homology spheres in spheres., J. Lond. Math. Soc., II. Ser. 16 (1977), 559-567. MRMR0464246 (57 #4180) Zbl 0375.57003
• [Schmidt1971] R. Schultz, On the inertia groups of a product of spheres, Trans. AMS, 156 (1971), 137–153.
• [Schmitt2002] A. Schmitt, On the classification of certain piecewise linear and differentiable manifolds in dimension eight and automorphisms of $\#_{i=1}^b(S^2\times S^5)$$\#_{i=1}^b(S^2\times S^5)$, Enseign. Math. (2) 48 (2002), no.3-4, 263–289.
• [Schoen&Yau1979] R. Schoen and S. T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979), no.1-3, 159–183. MR535700 (80k:53064) Zbl 0423.53032
• [Scholz1980] E. Scholz, Die Geschichte des Mannigfaltigkeitsbegriffs von Riemann bis Poincaré, Birkhäuser, Basel/Boston, (1980). MR0631524 (83h:58001) Zbl 0438.01004
• [Scholz1999] E. Scholz, The concept of manifold, 1850--1950, History of topology, North-Holland (1999), 25–64. MR1674908 (2000k:57001) Zbl 0956.57002
• [Schommer-Pries2009] C. Schommer-Pries, Central Extensions of Smooth 2-Groups and a Finite-Dimensional String 2-Group, (2009). Available at the arXiv:0911.2483.
• [Schultz1972] R. Schultz, Composition constructions on diffeomorphisms of $S^p\times S^q$$S^p\times S^q$, Pacific J. Math. 42 (1972), 739–754. MR0315731 (47 #4280) Zbl 0213.50002
• [Schultz1987] R. Schultz, Homology spheres as stationary sets of circle actions, Mich. Math. J. 34 (1987), 183-200. MR0894870 (88h:57038) Zbl 0698.57012
• [Schwarzschild1900] K. Schwarzschild, Ueber das zulässige Krümmungsmass des Raumes., Vierteljahrsschr. Astr. Ges. 35, (1900), 337-347. Zbl 31.0892.06
• [Scorpan2005] A. Scorpan, The wild world of 4-manifolds, American Mathematical Society, 2005. MR2136212 (2006h:57018) Zbl 1075.57001
• [Scott1983] P. Scott, The geometries of $3$$3$-manifolds, Bull. London Math. Soc. 15 (1983), no.5, 401–487. MR705527 (84m:57009) Zbl 0662.57001
• [Segal&Skopenkov&Spiez1998] J. Segal, A. Skopenkov and S. Spie\. z, Embeddings of polyhedra in $\R^m$$\R^m$ and the deleted product obstruction, Topol. Appl. 85 (1998), 225-234.
• [Segal1988] G. Segal, Elliptic cohomology (after Landweber-Stong, Ochanine, Witten, and others), Séminaire Bourbaki, Vol. 1987/88, Astérisque No. 161-162 (1988), Exp. No. 695, 4, (1989) 187–201. MR992209 (91b:55005) Zbl 0686.55003
• [Seifert&Threlfall1934] H. Seifert and W. Threlfall, Lehrbuch der Topologie, Leipzig und Berlin: B. G. Teubner. VII, 1934. Zbl 0009.08601
• [Seifert&Threlfall1980] Seifert, Herbert; Threlfall, William (1980), Goldman, Michael A.; Birman, Joan S. (eds.), Seifert and Threlfall: a textbook of topology, Pure and Applied Mathematics, 89, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-634850-7 MR0575168
• [Seifert1931] H. Seifert, Konstruktion dreidimensionaler geschlossener Räume, Ber. Verh. Sächs. Akad. Leipzig 83 (1931) 26-66. Zbl 0002.16001
• [Seifert1932] H. Seifert, Topologie dreidimensionaler gefaserter Räume, Acta Math. 60 (1933), 147–238. MR1555366 Zbl 0006.08304
• [Seifert1933] H. Seifert, Verschlingungsinvarianten, Sitzungsber. Preuß. Akad. Wiss., Phys.-Math. Kl. 1933, No.26-29, (1933) 811-828. Zbl 0008.18101
• [Seifert1933a] H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no.1, 147–238. MR1555366 Zbl 0006.08304
• [Seifert1933b] H. Seifert, Topologie Dreidimensionaler Gefaserter Räume, Acta Math. 60 (1933), no.1, 147–238. MR1555366 () Zbl 0006.08304
• [Serre1951] J. Serre, Homologie singulière des espaces fibrès. Applications, Ann. of Math. (2) 54 (1951), 425–505. MR0045386 (13,574g) Zbl 0045.26003
• [Serre1970] J. Serre, Cours d'arithmétique, Presses Universitaires de France, Paris, 1970. MR0255476 (41 #138) Zbl 0432.10001
• [Shimada1957] N. Shimada, Differentiable structures on the 15-sphere and Pontrjagin classes of certain manifolds, Nagoya Math. J. 12 (1957), 59–69. MR0096223 (20 #2715) Zbl 0145.20303
• [Skopenkov&Tancer2017] A. Skopenkov and M. Tancer. Hardness of almost embedding simplicial complexes in $\R^d$$\R^d$, Discr. Comp. Geom., 61:2 (2019), 452--463. arxiv preprint.
• [Skopenkov1997] A. Skopenkov, On the deleted product criterion for embeddability of manifolds in $\Rr^m$$\Rr^m$, Comment. Math. Helv. 72 (1997), 543-555.
• [Skopenkov2000] A. Skopenkov, On the generalized Massey-Rolfsen invariant for link maps, Fund. Math. 165 (2000), 1-15.
• [Skopenkov2002] A. Skopenkov, On the Haefliger-Hirsch-Wu invariants for embeddings and immersions., Comment. Math. Helv. 77 (2002), no.1, 78-124. MRMR1898394 (2003c:57023) Zbl 1012.57035
• [Skopenkov2003] M. Skopenkov, Embedding products of graphs into Euclidean spaces, Fund. Math. 179 (2003) 191-198. arxiv preprint.
• [Skopenkov2005] A. Skopenkov, A classification of smooth embeddings of 4-manifolds in 7-space, Topol. Appl., 157 (2010) 2094-2110. Available at the arXiv:0512594.
• [Skopenkov2006] A. Skopenkov, Embedding and knotting of manifolds in Euclidean spaces, in: Surveys in Contemporary Mathematics, Ed. N. Young and Y. Choi, London Math. Soc. Lect. Notes, 347 (2008) 248-342. Available at the arXiv:0604045.
• [Skopenkov2006a] A. Skopenkov, Classification of embeddings below the metastable dimension. Available at the arXiv:0607422.
• [Skopenkov2006b] M. Skopenkov, A formula for the group of links in the 2-metastable dimension, arxiv:math/0610320v1
• [Skopenkov2007] A. Skopenkov, A new invariant and parametric connected sum of embeddings, Fund. Math. 197 (2007), 253–269. arXiv:math/0509621. MR2365891 (2008k:57044) Zbl 1145.57019
• [Skopenkov2008] A. Skopenkov, A classification of smooth embeddings of 3-manifolds in 6-space, Math. Z. 260 (2008), no.3, 647–672. Available at the arXiv:0603429MR2434474 (2010e:57028) Zbl 1167.57013

• [Skopenkov2009] M. Skopenkov, Suspension theorems for links and link maps. Proc. AMS 137 (2009) 359--369. arxiv:math/0610320, version 2 or higher
• [Skopenkov2010] A. Skopenkov, Embeddings of k-connected n-manifolds into $\Rr^{2n-k-1}$$\Rr^{2n-k-1}$, Proc. AMS, 138 (2010) 3377--3389. Available at the arXiv:0812.0263.
• [Skopenkov2012] A. Skopenkov, Algebraic Topology From Algorithmic Standpoint, draft of a book (partly in Russian)
• [Skopenkov2014] A. Skopenkov, How do autodiffeomorphisms act on embeddings, Proc. A of the Royal Society of Edinburgh, 148:4 (2018) 835--848.
• [Skopenkov2014a] A. Skopenkov, Realizability of hypergraphs and Ramsey link theory. arxiv preprint.
• [Skopenkov2015] M. Skopenkov, When is the set of embeddings finite up to isotopy? Intern. J. Math. 26:7 (2015), http://arxiv.org/abs/1106.1878
• [Skopenkov2015a] A. Skopenkov, A classification of knotted tori, Proc. A of the Royal Society of Edinburgh, 150:2 (2020), 549-567. Full version: http://arxiv.org/abs/1502.04470

• [Skopenkov2015b] A. Skopenkov, Algebraic Topology From Geometric Viewpoint (in Russian), MCCME, Moscow, 2015, 2020. Accepted for English translation by `Moscow Lecture Notes' series of Springer. Preprint of a part
• [Skopenkov2016] A. Skopenkov, A user's guide to the topological Tverberg Conjecture, Russian Math. Surveys, 73:2 (2018), 323--353. Full updated version: arXiv:1605.05141.
• [Skopenkov2016c] A. Skopenkov, Embeddings in Euclidean space: an introduction to their classification, to appear to Bull. Man. Atl.
• [Skopenkov2016e] A. Skopenkov, Embeddings just below the stable range: classification, to appear in Bull. Man. Atl.
• [Skopenkov2016f] A. Skopenkov, 4-manifolds in 7-space, to appear in Bull. Man. Atl.
• [Skopenkov2016h] A. Skopenkov, High codimension links, to appear in Bull. Man. Atl.
• [Skopenkov2016i] A. Skopenkov, Isotopy, submitted to Bull. Man. Atl.
• [Skopenkov2016k] A. Skopenkov, Knotted tori, preprint.
• [Skopenkov2016p] A. Skopenkov, Embeddings in Euclidean space: plan_and_convention, Man. Atl.
• [Skopenkov2016s] A. Skopenkov, Knots, i.e. embeddings of spheres, preprint.
• [Skopenkov2016t] A. Skopenkov, 3-manifolds in 6-space, to appear in Boll. Man. Atl.
• [Skopenkov2017] A. Skopenkov, Algebraic Topology From Algorithmic Viewpoint, draft of a book.
• [Skopenkov2018] A. Skopenkov. A short exposition of S. Parsa's theorems on intrinsic linking and non-realizability. Discr. Comp. Geom. 65:2 (2021), 584-585. Full version: arxiv preprint.
• [Skopenkov2018i] A. Skopenkov, Invariants of graph drawings in the plane, Arnold Math. J., 6 (2020) 21-55. Full updated version: arXiv:1805.10237
• [Skopenkov2019] A. Skopenkov, A short exposition of the Levine-Lidman example of spineless 4-manifolds. Available at the arXiv:1911.07330.
• [Skopenkov2020e] A. Skopenkov, Extendability of simplicial maps is undecidable, Discr. Comp. Geom., 69:1 (2023), 250–259. arXiv:2008.00492
• [Skopenkov2022] A. Skopenkov, Invariants of embeddings of 2-surfaces in 3-space. Available at the arXiv:2201.10944.
• [Skopenkov2024] A. Skopenkov, The band connected sum and the second Kirby move for higher-dimensional links, submitted to arXiv on April 7, 2024.
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• [Smale1961] S. Smale, Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math. (2) 74 (1961), 391–406. MR0137124 (25 #580) Zbl 0099.39202
• [Smale1962] S. Smale, On the structure of $5$$5$-manifolds, Ann. of Math. (2) 75 (1962), 38–46. MR0141133 (25 #4544) Zbl 0101.16103
• [Smale1962a] S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 387–399. MR0153022 (27 #2991) Zbl 0109.41103
• [Smale1963] S. Smale, A survey of some recent developments in differential topology, Bull. Amer. Math. Soc. 69 (1963), 131–145. MR0144351 (26 #1896) Zbl 0133.16507
• [Smale1965] S. Smale, An infinite dimensional version of Sard's theorem, Amer. J. Math. 87 (1965), 861–866. MR0185604 (32 #3067) Zbl 0143.35301
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