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A classification of cohomology transfers for ramified covering maps

Marcelo A. Aguilar, Carlos Prieto (2006)

Fundamenta Mathematicae

We construct a cohomology transfer for n-fold ramified covering maps. Then we define a very general concept of transfer for ramified covering maps and prove a classification theorem for such transfers. This generalizes Roush's classification of transfers for n-fold ordinary covering maps. We characterize those representable cofunctors which admit a family of transfers for ramified covering maps that have two naturality properties, as well as normalization and stability. This is analogous to Roush's...

A classification of secondary cohomology operations

John W. Rutter (1976)

Colloquium Mathematicae

A combinatorial interpretation of homotopy groups of polyhedra

Demaria, Davide Carlo (1982)

Proceedings of the 10th Winter School on Abstract Analysis

A geometric decomposition of spaces into cells of different types.

Minian, Gabriel, Ottina, Miguel (2006)

Journal of Homotopy and Related Structures

A higher dimensional homotopy sequence.

Grandis, M., Vitale, E.M. (2002)

Homology, Homotopy and Applications

A homotopy 2-groupoid from a fibration.

Kamps, K.H., Porter, T. (1999)

Homology, Homotopy and Applications

A homotopy double groupoid of a Hausdorff space.

Brown, Ronald, Hardie, Keith A., Kamps, Klaus Heiner, Porter, Timothy (2002)

Theory and Applications of Categories [electronic only]

A homotopy double groupoid of a Hausdorff space. II: A van Kampen theorem.

Brown, Ronald, Kamps, K. H., Porter, Timothy (2005)

Theory and Applications of Categories [electronic only]

A note on generalized equivariant homotopy groups

Marek Golasiński, Daciberg L. Gonçalves, Peter N. Wong (2009)

Banach Center Publications

In this paper, we generalize the equivariant homotopy groups or equivalently the Rhodes groups. We establish a short exact sequence relating the generalized Rhodes groups and the generalized Fox homotopy groups and we introduce Γ-Rhodes groups, where Γ admits a certain co-grouplike structure. Evaluation subgroups of Γ-Rhodes groups are discussed.

A propos de conjectures de Serre et Sullivan.

Jean Lannes, Lionel Schwartz (1986)

Inventiones mathematicae

Actions and automorphisms of crossed modules

Katherine Norrie (1990)

Bulletin de la Société Mathématique de France

Adjunction of n-equivalences and triad connectivity.

Peter J. Witbooi (1995)

Publicacions Matemàtiques

We prove a new adjunction theorem for n-equivalences. This theorem enables us to produce a simple geometric version of proof of the triad connectivity theorem of Blakers and Massey. An important intermediate step is a study of the collapsing map S∨X → S, S being a sphere.