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math.AT2010★ 25 cited
Discrete Vector Fields and Fundamental Algebraic Topology
Ana Romero, Francis Sergeraert
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 h…
math.AT2003
Algebraic Models for Homotopy Types
Julio Rubio Garcia, Francis Sergeraert
The classical problem of algebraic models for homotopy types is precisely stated, to our knowledge for the first time. Two different natural statements for this problem are produce…