This entry colllects material related to the book

* [[Glen Bredon]],

  **Introduction to compact transformation groups**

  Academic Press  1972

  [ISBN 9780080873596](https://www.elsevier.com/books/introduction-to-compact-transformation-groups/bredon/978-0-12-128850-1)

  [pdf](http://www.indiana.edu/~jfdavis/seminar/Bredon,Introduction_to_Compact_Transformation_Groups.pdf)

on [[transformation groups]]/[[topological G-spaces]] and their [[equivariant differential topology]], [[equivariant homotopy theory]] and [[equivariant cohomology]] ([[Bredon cohomology]]).

See also

* [[Tammo tom Dieck]], _[[Transformation Groups and Representation Theory]]_, Lecture Notes in Mathematics 766, Springer 1979 ([doi:10.1007/BFb0085965](https://link.springer.com/book/10.1007/BFb0085965))

* [[Tammo tom Dieck]], _[[Transformation Groups]]_, de Gruyter 1987  ([doi:10.1515/9783110858372]( https://doi.org/10.1515/9783110858372))

#Contents#
* table of contents
{:toc}

## 0 Background on Topological Groups and Lie Groups

### 1. Elementary properties of topological groups

* [[topological group]]

* [[normalizer subgroup]]

### 2. The classical groups

* [[classical Lie group]]

### 3. Integration on compact groups

* [[Haar measure]]

### 4. Characteristic functions on compact groups

### 5. Lie groups

* [[Lie group]]

### 6. The structure of compact Lie groups

* [[compact Lie group]]

## I Transformation Groups

* [[group action]], [[topological G-space]]

* [[equivariant function]]

* [[isotropy group]]

* [[orbit]]

* [[homogeneous space]], [[coset space]], [[orbit type]]

* [[slice theorem]]

* [[fixed points]]

## II General Theory of $G$-Spaces

### 1. Fiber bundles

* [[fiber bundle]]

### 2. Associated bundles

* [[associated bundle]]

* [[slice theorem]]

### 3. Twisted products with a compact group

### 4. Tubes and slices

## III Homological Theory of Finite Group Actions

## IV Locally Smooth Actions on Manifolds

## V Actions with Few Orbit Types

## VI Smooth Actions

* [[equivariant tubular neighbourhood]]

* [[invariant Riemannian metric]]

## Chapter VII Cohomology Structure of Fixed Point Sets

category: reference


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#### Homotopy theory
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[[!include homotopy - contents]]
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#### Bundles
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[[!include bundles - contents]]
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This page collects linkes related to

* [[Ioan Mackenzie James]],

  _Introduction to fibrewise homotopy theory_

  in

  [[Ioan Mackenzie James]] (ed.)

  _[[Handbook of Algebraic Topology]]_

  Oxford 1995

  [doi:10.1016/B978-0-444-81779-2.X5000-7](https://doi.org/10.1016/B978-0-444-81779-2.X5000-7)

on [[parameterized homotopy theory]].

## References

Discussion of fiberwise [[H-space]]-structure on [[spheres]] (see also at [[Hopf construction]]) is in

* {#CookCrabb93} A. L. Cook, M.C. Crabb, _Fiberwise Hopf structures on sphere bundles_, J. London Math. Soc. (2) 48 (1993) 365-384 ([pdf](http://www.maths.ed.ac.uk/~aar/papers/crabbcook.pdf))

* {#Iriye95} [[Kouyemon Iriye]], _Equivariant Hopf structures on a sphere_, J. Math. Kyoto Univ. Volume 35, Number 3 (1995), 403-412 ([Euclid](http://projecteuclid.org/euclid.kjm/1250518704))

category: reference


This page provides some links related to the textbook

* [[Ieke Moerdijk]], [[Janez Mrčun]],

  _Introduction to foliations and Lie groupoids_,

  Cambridge Studies in Advanced Mathematics

  __91__, 2003. x+173 pp. ISBN: 0-521-83197-0

  [doi:10.1017/CBO9780511615450](https://doi.org/10.1017/CBO9780511615450)

on [[Lie groupoids]] and [[foliations]].

(...)

category: reference


Introduction to Higher-Order Categorical Logic

This refers to the book by [[Jim Lambek]] and [[Phil Scott]]:

 *  Lambek, J.; Scott, P.J. (1986), _Introduction to Higher Order Categorical Logic_, Cambridge University Press, ISBN 978-0-521-35653-4.

category: reference