Topological Spaces: Including a Treatment of Multi-Valued

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The mobius strip is taken as symbol of eternity. Homological mirror symmetry for Fano surfaces. The set A was clearly a failed attempt at building something with a c of ½. [As I recall, finding out it could only be an unsigned infinity was disappointing...] With hindsight, it's clear that there's a more compelling approach, based on another well-known property of c concerning cartesian products, which is worth preserving in any interesting extension of c: Using the 3 "axioms" of the previous article [and the value (-1)n which they impose for the c of ordinary n-dimensional Euclidean space] this relation can be easily established by [structural] induction for all "polyhedral" sets. (Such sets, which are the usual domain of definition of c, consist of finite unions of disjoint components, each homeomorphic to some n-dimensional Euclidean space, which are called its vertices, edges, faces, cells...) Therefore, the above relation does not contradict our three axioms and may be use as a fourth axiom in a larger scope of more general sets, which remains to be defined...

Pages: 288

Publisher: Dover Publications (September 16, 2010)

ISBN: 0486696537

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