Homotopy-epimorphisms, homotopy-monomorphisms and homotopy-equivalences (Q1199901)
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scientific article; zbMATH DE number 96240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homotopy-epimorphisms, homotopy-monomorphisms and homotopy-equivalences |
scientific article; zbMATH DE number 96240 |
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Homotopy-epimorphisms, homotopy-monomorphisms and homotopy-equivalences (English)
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17 January 1993
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In a general category, a morphism which is both an epimorphism and a monomorphism need not be an equivalence. However, the authors prove that it is in the case of the homotopy category of pointed path-connected CW- spaces. In fact, they obtain this result as a corollary of a variant of a classical theorem of J. H. C. Whitehead that they prove. They also relate the result to the plus construction.
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homotopy-epimorphism
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homotopy-monomorphism
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cohomology with local coefficients
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plus construction
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pointed path-connected CW-spaces
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