Some applications of combinatorial differential topology

Robin Forman · Proceedings of symposia in pure mathematics · 2005

this paper is perhaps a bit confusing, since it is not at all clear what is meant by the term \\combinatorial dierential topology". We use this expression to refer to the application of the standard concepts of dierential topology, such as vector elds and their corresponding ows, to the study of combinatorial spaces such as simplicial complexes. This paper will be a survey of some of the author's work in this direction (see [11-18]). In order to aid us in our discussion, we will take as the unifying idea the notion of a combinatorial dynamical system

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