SELF-MAPS ON M(Zq, n + 2) ∨ M(Zq, n + 1) ∨ M(Zq, n)

• 영문명: SELF-MAPS ON M(Zq, n + 2) ∨ M(Zq, n + 1) ∨ M(Zq, n)
• 발행기관: 충청수학회
• 저자명: 최호원(Ho Won Choi)
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 36, No. 4, 289~296쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2023.11.30

영문 초록

When G is an abelian group, we use the notationM(G, n) to denote the Moore space. The space X is the wedge product space of Moore spaces, given by X = M(Zq, n+2)∨M(Zq, n+1)∨ M(Zq, n). We determine the self-homotopy classes group [X,X] and the self-homotopy equivalence group E(X). We investigate the subgroups of [Mj ,Mk] consisting of homotopy classes of maps that induce the trivial homomorphism up to (n + 2)-homotopy groups for j ̸= k. Using these results, we calculate the subgroup Edim ♯ (X) of E(X) in which all elements induce the identity homomorphism up to (n + 2)-homotopy groups of X.

목차

1. Introduction

2. Preliminaries

References

키워드

Self-homotopy equivalence Moore space Self-closeness number