CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES
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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.
Abstract
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.
참고문헌 (5)
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