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Journal ArticleDOI

Smooth equivariant triangulations ofG-manifolds forG a finite group

Sören Illman
- 01 Oct 1978 - 
- Vol. 233, Iss: 3, pp 199-220
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This article is published in Mathematische Annalen.The article was published on 1978-10-01. It has received 178 citations till now. The article focuses on the topics: Equivariant map & Finite group.

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Citations
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Journal ArticleDOI

On the nonexistence of elements of Kervaire invariant one

TL;DR: In this article, it was shown that the Kervaire invariant one elements θj ∈ π2j+1−2S exist only for j ≤ 6.
Journal ArticleDOI

Duality in algebra and topology

TL;DR: In this article, the authors apply ideas from commutative algebra and Morita theory to algebraic topology using ring spectra and prove new duality results in algebra and topology.
Book ChapterDOI

Equivariant stable homotopy theory

TL;DR: In this article, the authors introduce graduate students and researchers to global equivariant homotopy theory based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than what is traditionally considered.
Journal ArticleDOI

Analytic and topological torsion for manifolds with boundary and symmetry

TL;DR: In this article, the authors introduced analytic torsion ρan(M,M1;V ) ∈ R⊗Z RepR(G) and Poincare torsions ρpl(M.1,M2,V ) in terms of the spectrum of the Laplace operator, and the PL-torsionis based on the cellular chain complex.
References
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On the Existence of Slices for Actions of Non-Compact Lie Groups

TL;DR: The Cartan G-space as mentioned in this paper is a generalization of the Cartan topological group to compact Lie groups, and it is defined by Cartan's basic axiom PF for principal bundles in the Seminaire H. Cartan of 1948-49.
Book

Modern dimension theory