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Moderately Discontinuous Homotopy

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Moderately_discontinuous_homotopy.pdf (2.18 MB)

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https://doi.org/10.1093/imrn/rnab225

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Publication date

2021

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Oxford University Press
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https://hdl.handle.net/20.500.14352/97916

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Javier Fernández de Bobadilla, Sonja Heinze, Maria Pe Pereira, Moderately Discontinuous Homotopy, International Mathematics Research Notices, Volume 2022, Issue 23, December 2022, Pages 18346–18400, https://doi.org/10.1093/imrn/rnab225

Abstract

We introduce a metric homotopy theory, which we call moderately discontinuous homotopy, designed to capture Lipschitz properties of metric singular subanalytic germs. It matches with the moderately discontinuous homology theory recently developed by the authors and E. Sampaio.

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Geometria algebraica, Topología

Unesco subjects

1210.07 Homotopía, 1201.01 Geometría Algebraica

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