On a generalization of absolute neighborhood retracts (Q1005162)
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scientific article; zbMATH DE number 5526269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a generalization of absolute neighborhood retracts |
scientific article; zbMATH DE number 5526269 |
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On a generalization of absolute neighborhood retracts (English)
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6 March 2009
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The authors introduce and study two new classes of spaces: absolute multi-retracts (AMR) and absolute neighborhood multi-retracts (ANMR), which generalize the concepts of absolute retract (AR) and absolute neighborhood retract (ANR), respectively. They show, among other things, that an ANMR need be neither an ANR nor an approximate ANR in the sense of M. H. Clapp. In the final section they show by means of specialized homological techniques that fixed point theory can be extended to ANMRs. In particular, they prove some fixed point of Lefschetz type for admissible maps defined on ANMRs.
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absolute neighborhood retract
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cell-like map
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movable space
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Lefschetz number
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admissible map
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