Shape of compacta as extension of weak homotopy of finite spaces

Abstract

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

References in corpus (4)

• Coincidence theorems for finite topological spaces
• Quasi-shape theory of locally finite and paracompact spaces
• Automorphism groups of finite posets II
• Computational approximations of compact metric spaces