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

• Jeong, Myung-Hwa (Division of General Education, Ajou University)
• Published : 2010.01.31
• 61 16

Abstract

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

Keywords

self-homotopy equivalences;Moore spaces

References

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Cited by

1. Certain self-homotopy equivalences on wedge products of Moore spaces vol.272, pp.1, 2014, https://doi.org/10.2140/pjm.2014.272.35