Shape of compacta as extension of weak homotopy of finite spaces
arXiv:2110.02574
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 (5)
- Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
- 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