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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.
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참고문헌 (11)
참고문헌 신청
M. Arkowitz / 1990 / The group of self-homotopy equivalences - a survey / Springer :170~203
M. Arkowitz / 2010 / Introduction to Homotopy Theory / Springer
P. I. Booth / 1990 / Group of Self-Equivalences and Related Topics / Springer :17~31
H. Choi / 2014 / Certain self homotopy equivalences on wedge product on Moore spaces / Pacific J. Math 272(1):35~57
H. Choi / 2015 / Certain numbers on the groups of self-homotopy equivalences / Topology Appl 181:104~111
M. Arkowitz / 2010 / Introduction to Homotopy Theory / Springer
P. I. Booth / 1990 / Group of Self-Equivalences and Related Topics / Springer :17~31
H. Choi / 2014 / Certain self homotopy equivalences on wedge product on Moore spaces / Pacific J. Math 272(1):35~57
H. Choi / 2015 / Certain numbers on the groups of self-homotopy equivalences / Topology Appl 181:104~111
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