논문KCI 등재
FACTORIZATION OF CERTAIN SELF-MAPS OF PRODUCT SPACES
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In this paper, we show that, under some conditions, self-maps of product spaces can be represented by the composition of two specific self-maps if their induced homomorphism on the $i$-th homotopy group is an automorphism for all $i$ in some section of positive integers. As an application, we obtain closeness numbers of several product spaces.
Abstract
In this paper, we show that, under some conditions, self-maps of product spaces can be represented by the composition of two specific self-maps if their induced homomorphism on the $i$-th homotopy group is an automorphism for all $i$ in some section of positive integers. As an application, we obtain closeness numbers of several product spaces.
참고문헌 (11)
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- H. Choi, "Certain self homotopy equivalences on wedge product on Moore spaces", Pacific J. Math, 272(1), pp.35~57 (2014)
- H. Choi, "Certain numbers on the groups of self-homotopy equivalences", Topology Appl, 181, pp.104~111 (2015)
- P. R. Heath, "On the group Ɛ(X×Y) of self homotopy equivalences of a product", Quaes-tiones Math, 19(3-4), pp.433~451 (1996)
- 이기영, "The groups of self pair homotopy equivalences", 대한수학회지, 43(3), pp.491~506 (2006), 대한수학회
- P. Pavesic, "Self-homotopy equivalences of product spaces", Proc. Roy. Soc. Edinburgh Sect. A, 129(1), pp.181~197 (1999)
- P. Pavesic, "Self fibre homotopy equivalences of fibred products", Topology Appl, 102(2), pp.169~180 (2000)
- P. Pavesic, "Reducibility of self-homotopy equivalences", Proc. Roy. Soc. Edinburgh Sect. A, 137(2), pp.389~413 (2007)
- A. J. Sieradski, "Twisted self-homotopy equivalences", Pacific J. Math, 34, pp.789~802 (1970)
관련 논문AI추천
On factorizations of the subgroups of self-homotopy equivalencesHao Zhao, Yi-Yun Shi대한수학회 · 대한수학회지2008 · 제45권 제4호SELF-HOMOTOPY EQUIVALENCES RELATED TO COHOMOTOPY GROUPS오형석, 이기영, 최호원대한수학회 · 대한수학회지2017 · 제54권 제2호CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES정명화대한수학회 · 대한수학회논문집2010 · 제25권 제1호Self-homotopy equivalences of Moore spaces depending on cohomotopy groups오형석, 이기영, 최호원대한수학회 · 대한수학회지2019 · 제56권 제5호GOTTLIEB SUBSETS WITH RESPECT TO A MORPHISM IN THE CATEGORY OF PAIRS김지연, 이기영대한수학회 · 대한수학회보2010 · 제47권 제6호Self-pair homotopy equivalences related to co-variant functors신혜선, 이기영, 최호원대한수학회 · 대한수학회지2024 · 제61권 제3호
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