SELF-HOMOTOPY EQUIVALENCES OF MOORE SPACES DEPENDING ON COHOMOTOPY GROUPS
- Authors
- Choi, Ho Won; Lee, Kee Young; Oh, Hyung Seok
- Issue Date
- 9월-2019
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- self-homotopy equivalence; cohomotopy group; Moore space; co-Moore space
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.56, no.5, pp.1371 - 1385
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 56
- Number
- 5
- Start Page
- 1371
- End Page
- 1385
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/62987
- DOI
- 10.4134/JKMS.j180680
- ISSN
- 0304-9914
- Abstract
- Given a topological space X and a non-negative integer k, epsilon(#)(k)(X) is the set of all self-homotopy equivalences of X that do not change maps from X to an t-sphere S-t homotopically by the composition for all t >= k. This set is a subgroup of the self-homotopy equivalence group epsilon(X). We find certain homotopic tools for computations of epsilon(#)(k)(X). Using these results, we determine epsilon(#)(k) (M(G,n)) for k >= n, where M(G, n) is a Moore space type of (G, n) for a finitely generated abelian group G.
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Collections - College of Science and Technology > Data Computational Sciences in Division of Applied Mathematical Sciences > 1. Journal Articles
- College of Science and Technology > Department of AI Cyber Security > 1. Journal Articles
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