# HG changeset patch # User Kevin Walker # Date 1335445044 21600 # Node ID f5af4f863a8fd60ed580e428096ed66df3f5a3e2 # Parent 3c75d9a485a76fc16dadd8649a6dde44c3279927 two small changes in intro requested by Peter diff -r 3c75d9a485a7 -r f5af4f863a8f text/intro.tex --- a/text/intro.tex Tue Mar 27 06:20:54 2012 +1100 +++ b/text/intro.tex Thu Apr 26 06:57:24 2012 -0600 @@ -41,11 +41,11 @@ %(Don't worry, it wasn't that hard.) In most of the places where we say ``set" or ``vector space", any symmetric monoidal category with sufficient limits and colimits would do. -We could also replace many of our chain complexes with topological spaces (or indeed, work at the generality of model categories). +Similarly, in many places chain complexes could be replaced by more general objects, but we have not pursued this. {\bf Note:} For simplicity, we will assume that all manifolds are unoriented and piecewise linear, unless stated otherwise. In fact, all the results in this paper also hold for smooth manifolds, -as well as manifolds equipped with an orientation, spin structure, or $\mathrm{Pin}_\pm$ structure. +as well as manifolds (PL or smooth) equipped with an orientation, spin structure, or $\mathrm{Pin}_\pm$ structure. We will use ``homeomorphism" as a shorthand for ``piecewise linear homeomorphism". The reader could also interpret ``homeomorphism" to mean an isomorphism in whatever category of manifolds we happen to be working in (e.g.\ spin piecewise linear, oriented smooth, etc.).