Work

On the Long Sequence and the Hurewicz Theorem for the Persistent Homotopy Groups of a Pair

Year: 2025

Type: article

Abstract: In this paper, we show that the persistent homotopy groups fit into a long sequence which is exact of order 2. We prove a persistent version of the Hurewicz theorem for a pair of spaces (X,A). We also show that this version implies the persistent version of the Hurewicz theorem for the space X.

Source: Journal of Science and Arts

DOI: 10.46939/j.sci.arts-25.2-a12

Author: HANIFE VARLI

Institution: Çankırı Karatekin University

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4412512124

FWCI:

Cites: 2

Cited by:

Related to: 10