Persistent Homotopy.
Year: 2019
Type: preprint
Abstract: In this paper, we study some of the basic properties of persistent homotopy.We show that persistent fundamental group benefits from the Van Kampen theorem
and the interleaving distance between total spaces is the maximum of the
interleaving distances between subspaces. Moreover, we prove excision and
Hurewicz theorems for persistent homotopy groups.
Source: arXiv (Cornell University)
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3005678268