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arXiv · 2212.07509

Homotopy type through homology groups

Omar Antolín Camarena·Andrés Carnero Bravo
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Abstract

We show that if a complex has free finitely generated reduced homology groups for two consecutive dimensions and trivial homology for all other dimensions, then it must have the homotopy type of a wedge of spheres of two consecutive dimensions. We also show other pairs of dimensions for which the last result can be generalized.

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Omar Antolín Camarena, Andrés Carnero Bravo. 2022-12-14. Homotopy type through homology groups. https://doi.org/10.1007/s40590-024-00605-8

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