Discrete Vector Fields and Fundamental Algebraic Topology

Details Discrete Vector Fields and Fundamental Algebraic Topology Discrete Vector Fields and Fundamental Algebraic Topology

2010-05-31

arxiv.org/abs/1005.5685v1

Mathematics

Algebraic Topology

53 pages

Scientific paper

We show in this text how the most important homology equivalences of fundamental Algebraic Topology can be obtained as reductions associated to discrete vector fields. Mainly the homology equivalences whose existence -- most often non-constructive -- is proved by the main spectral sequences, the Serre and Eilenberg-Moore spectral sequences. On the contrary, the constructive existence is here systematically looked for and obtained.

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