On exactness of long sequences of homology semimodules.

Patchkoria, Alex

Displaying similar documents to “On exactness of long sequences of homology semimodules.”

Chain theories and simplicial abelian group spectra.

Bauer, Friedrich W. (2002)

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An algebraic model of fibration with the fiber $K (π, n)$ -space.

Berikashvili, N. (1996)

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On a multiplicativity up to homotopy of the Gugenheim map.

Kharebava, Z. (2002)

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The Vietoris system in strong shape and strong homology

Bernd Günther (1992)

Fundamenta Mathematicae

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We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology. ...