Forms and chain complexes II (Ex)

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		+	{{beginthm|Definition|{{cite|Ranicki1980|Proposition 4.6}} }}
		+	An n-dimensional $\epsilon$-symmetric($\epsilon$-quadratic) complex is called 'well-connected' if $H_o(C)= 0$.
		+	{{endthm}}
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	Show that the boundary of a well-connected $1$-dimensional symmetric/quadratic complex gives a hyperbolic form.		Show that the boundary of a well-connected $1$-dimensional symmetric/quadratic complex gives a hyperbolic form.

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Revision as of 16:17, 31 May 2012

Show that the boundary of a well-connected $1$-dimensional symmetric/quadratic complex gives a hyperbolic form.

See section 2 of [Ranicki1980]

References

• [Ranicki1980] A. Ranicki, The algebraic theory of surgery. I. Foundations, Proc. London Math. Soc. (3) 40 (1980), no.1, 87–192. MR560997 (82f:57024a) Zbl 0471.57012

$-dimensional symmetric/quadratic complex gives a hyperbolic form. See section 2 of {{cite|Ranicki1980}} == References == {{#RefList:}} [[Category:Exercises]] [[Category:Exercises without solution]]\epsilon-symmetric($\epsilon$-quadratic) complex is called 'well-connected' if $H_o(C)= 0$.