Cubical approach to derived functors (Q424854)
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scientific article; zbMATH DE number 6043099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cubical approach to derived functors |
scientific article; zbMATH DE number 6043099 |
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Cubical approach to derived functors (English)
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6 June 2012
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derived functor
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normalized chain complex
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presimplicial object
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projective class
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projective pseudocubical resolution
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pseudocubical object
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Almost all homology theories from classical homological algebra can be viewed as special cases of Tierney-Vogel simplicial derived functors.NEWLINENEWLINE In this paper the author constructs a cubical analog of the Tierney-Vogel theory, and proves that these cubical derived functors are naturally isomorphic to their simplicial counterparts. It is also proved that this result generalizes the known fact that the simplicial and cubical singular homologies of a topological space are naturally isomorphic.
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