Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The Vietoris system in strong shape and strong homology

100%

Günther B.

Fundamenta Mathematicae

1992

tom 141

nr 2

147-168

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.

Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group

63%

Günther B., Mdzinarishvili L.

Fundamenta Mathematicae

1997

tom 153

nr 2

154-156

We prove that Alexander-Spanier cohomology $H^n(X;G)$ with coefficients in a topological} Abelian group G is isomorphic to the group of isomorphism classes of principal bundles with certain Abelian structure groups. The result holds if either X is a CW-space and G arbitrary or if X is metrizable or compact Hausdorff and G an ANR.

Ograniczanie wyników

2 Fundamenta Mathematicae

2 Günther B.

1 Mdzinarishvili L.

1 1997

1 1992

Wyniki wyszukiwania

The Vietoris system in strong shape and strong homology

Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group