ON THE LONG SEQUENCE AND THE HUREWICZ THEOREM FOR THE PERSISTENT HOMOTOPY GROUPS OF A PAIR
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.
Authors
- Hanіfe Varlı
Institutions
- Çankırı Karatekin University (TR)
Publication Details
- Journal
- Journal of Science and Arts
- Published
- 2025-06-30
- DOI
- https://doi.org/10.46939/j.sci.arts-25.2-a12
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00