Discrete Vector Fields and Fundamental Algebraic Topology

Ana Romero; Francis Sergeraert

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arXiv · 1005.5685

Discrete Vector Fields and Fundamental Algebraic Topology

Ana Romero·Francis Sergeraert

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Abstract

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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Ana Romero, Francis Sergeraert. 2010-05-31. Discrete Vector Fields and Fundamental Algebraic Topology. https://arxiv.org/abs/1005.5685

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