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For a based, 1-connected, finite CW-complex X, we denote by ε(X) the group of homotopy classes of self-homotopy equivalences of X and by ε# dim+r(X) the subgroup of homotopy classes which induce the identity on the homotopy groups of X in dimensions ≤ dimX+r. In this paper, we calculate the subgroups ε# dim+r(X) when X is a wedge of two Moore spaces determined by cyclic groups and in consecutive dimensions.
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참고문헌 (5)
참고문헌 신청
E. Spanier / 1996 / Algebraic Topology / McGraw-Hill
M. Arkowitz / 1990 / he group of self-homotopy equivalences - a survey / Lecture Notes in Math. 1425 : 170 ~ 203
M. Arkowitz / 1995 / On finiteness of subgroups of self-homotopy equivalences, in: Contemporary Mathematics / American Mathematical Society 181 : 1 ~ 25
M. Arkowitz / 1998 / Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups / Topology Appl. 87 : 133 ~ 154
S. Araki / 1965 / Multiplicative structure in mod q cohomology theories I / Osaka J. Math. 2 : 71 ~ 115
M. Arkowitz / 1990 / he group of self-homotopy equivalences - a survey / Lecture Notes in Math. 1425 : 170 ~ 203
M. Arkowitz / 1995 / On finiteness of subgroups of self-homotopy equivalences, in: Contemporary Mathematics / American Mathematical Society 181 : 1 ~ 25
M. Arkowitz / 1998 / Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups / Topology Appl. 87 : 133 ~ 154
S. Araki / 1965 / Multiplicative structure in mod q cohomology theories I / Osaka J. Math. 2 : 71 ~ 115
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