# Bordism of G-manifolds and integrality theorems

@article{Dieck1970BordismOG,
title={Bordism of G-manifolds and integrality theorems},
author={Tammo tom Dieck},
journal={Topology},
year={1970},
volume={9},
pages={345-358}
}
• T. T. Dieck
• Published 1 November 1970
• Mathematics
• Topology
118 Citations

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### Equivariant orientations and $G$-bordism theory.

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We outline a new geometric theory of orientations under the action of a group G and formulate bordism theories for (7-oriented manifolds. These theories extend the classical G-bordism theories

### Transversality Obstructions and Equivariant Bordism for G=Z/2

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This paper establishes a connection between equivariant ring spectra and Witt vectors in the sense of Dress and Siebeneicher. Given a commutative ringspectrum T in the highly structured sense, that

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1. The bordism groups. This note presents an outline of the authors' efforts to apply Thorn's cobordism theory [ó] to the study of differentiable periodic maps. First, however, we shall outline our

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Throughout this note G denotes a discrete group. A G-complex is a CPP-complex on which G acts by cellular maps such that the fixed point set of any element of G is a subcomplex. On the category of

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• History
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• November 2nd, 2006: Talk 1 by Marc Siegmund: This should be an introduction to bordism, tell us the geometric constructions and mention the ring structure of Ω ∗ . You might take the books of

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There is a number of phenomena in homotopy theory which are independent of the precise dimensions considered, provided that the dimensions are large enough. For example, nn+1(Sn) = Z2 for n > 2. Such

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© Publications mathématiques de l’I.H.É.S., 1968, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://

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(Wir nehmen wie fiblich an, dab G yon reehts auf E operiert.) Wir bezeichnen ein (F, ~, G)-Bfindel meist nut dnreh die zugrunde liegende Abbildung p: E --> B. Ist trivial, dann operiert F als Gruppe