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Finiteness properties of self-equivalence groups of rationalco-H-spaces

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Abstract

The group of self-homotopy equivalences of a finite complex which is rationally aco-H-space is studied. Some finiteness properties are obtained. Two subgroups consisting of elements which induce the identity on homotopy or homology groups are also studied. Examples are included showing these results are best possible.

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  1. Department of Mathematics Faculty of Education, Chiba University, Yayoicho, Chiba, Japan

    Ken-ichi Maruyama

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  1. Ken-ichi Maruyama
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Maruyama, Ki. Finiteness properties of self-equivalence groups of rationalco-H-spaces. Manuscripta Math 76, 33–43 (1992). https://doi.org/10.1007/BF02567745

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  • DOI: https://doi.org/10.1007/BF02567745

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