On relations between homology and homotopy groups

Ma, L.

Displaying similar documents to “On relations between homology and homotopy groups”

Proper CW-complexes: A category for the study of proper homotopy.

J. I. Extremiana, L. J. Hernández, M. T. Rivas (1988)

Collectanea Mathematica

Similarity:

An isomorphism theorem of Hurewicz type in the proper homotopy category

J. Extremiana, L. Hernández, M. Rivas (1989)

Fundamenta Mathematicae

Similarity:

Some remarks on Borsuk generalized cohomotopy groups

J. Jaworowski (1962)

Fundamenta Mathematicae

Similarity:

Set theoretical approach to the disconnection theory of the Euclidean space

Karol Borsuk (1950)

Fundamenta Mathematicae

Similarity:

Equivalence of singular and Čech homology for ANR-s. Application to unicoherence

Sibe Mardešić (1958)

Fundamenta Mathematicae

Similarity:

On local disconnection of Euclidean spaces

A. Granas (1955)

Fundamenta Mathematicae

Similarity:

Remark on spaces dominated by manifolds

I. Berstein, Tudor Ganea (1959)

Fundamenta Mathematicae

Similarity:

An. isomorphism theorem of the Hurewicz-type in Borsuk's theory of shape

Krystyna Kuperberg (1972)

Fundamenta Mathematicae

Similarity:

Remark on homotopy inverses

Dugundji, J. (1955)

Portugaliae mathematica

Similarity:

Extension of complexes of groups

André Haefliger (1992)

Annales de l'institut Fourier

Similarity:

Complexes of groups $G (X)$ over ordered simplicial complexes $X$ are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space $B G (X)$ . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups $G (X)$ with coefficients in a $G (X)$ -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or...