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This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.

Topological transformation groups. --- Homology theory.

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Topological groups. Lie groups --- Topological transformation groups.

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Group theory --- Topological transformation groups --- Manifolds (Mathematics) --- Surgery (Topology)

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Topological transformation groups --- Congresses. --- 51 --- -Manifolds (Mathematics) --- Transformation groups --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Manifolds (Mathematics) --- Topological transformation groups - Congresses.

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The theory of transformation groups studies symmetries of various mathematical objects such as topological spaces, manifolds, polyhedra and function spaces. It is thus a central concept in many branches of mathematics. This volume contains 25 of the papers submitted at the conference on transformation groups held at the University of Newcastle upon Tyne in August 1976.

Transformation groups --- Topological transformation groups --- Manifolds (Mathematics) --- Groups of transformations --- Group theory --- Topology --- Transformations (Mathematics)