Shape of compacta as extension of weak homotopy of finite spaces

Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal

Publication date: 6 October 2021

Abstract: We construct a category that classifies compact Hausdorff spaces by their shape and finite topological spaces by their weak homotopy type.

Mathematics Subject Classification ID

Partial orders, general (06A06) Shape theory in general topology (54C56) Shape theory (55P55) Categories in geometry and topology (18Fxx)

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