CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES

Title & Authors
CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES
Jeong, Myung-Hwa;

Abstract
For a based, 1-connected, finite CW-complex X, we denote by $\small{\varepsilon(X)}$ the group of homotopy classes of self-homotopy equivalences of X and by $\small{\varepsilon_#\;^{dim+r}(X)}$ the subgroup of homotopy classes which induce the identity on the homotopy groups of X in dimensions $\small{\leq}$ dim X+r. In this paper, we calculate the subgroups $\small{\varepsilon_#\;^{dim+r}(X)}$ when X is a wedge of two Moore spaces determined by cyclic groups and in consecutive dimensions.
Keywords
self-homotopy equivalences;Moore spaces;
Language
English
Cited by
1.
Certain self-homotopy equivalences on wedge products of Moore spaces, Pacific Journal of Mathematics, 2014, 272, 1, 35
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