On the homotopy theory of equivariant automorphism groups.

Mel Rothenberg; Ib Madsen

Displaying similar documents to “On the homotopy theory of equivariant automorphism groups.”

A note on generalized equivariant homotopy groups

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

Banach Center Publications

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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.

On equivariant finiteness

Sławomir Kwasik (1983)

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Reinhard Schultz (1973)

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Equivariant stable homotopy and Sullivan's conjecture.

Gunnar Carlsson (1991)

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Robert Oliver, Ted Petrie (1982)

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Shyuichi Izumiya (1979)

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James E. McClure (1983)

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Equivariant evaluation subgroups and Rhodes groups

Marek Golasiński, Daciberg Gonçalves, Peter Wong (2007)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Classification of homotopy classes of equivariant gradient maps

E. N. Dancer, K. Gęba, S. M. Rybicki (2005)

Fundamenta Mathematicae

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Let V be an orthogonal representation of a compact Lie group G and let S(V),D(V) be the unit sphere and disc of V, respectively. If F: V → ℝ is a G-invariant C¹-map then the G-equivariant gradient C⁰-map ∇F: V → V is said to be admissible provided that ${(\nabla F)}^{- 1} (0) \cap S (V) = \emptyset$ . We classify the homotopy classes of admissible G-equivariant gradient maps ∇F: (D(V),S(V)) → (V,V∖0).

A Relation Between Equivariant and Non-equivariant Stable Cohomotopy.

J.C. Becker (1988)

Mathematische Zeitschrift

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Equivariant L-Theory I.

Ib Madsen, Wolfgang Lück (1990)

Mathematische Zeitschrift

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