Transformation Groups: Proceedings of the Conference in the University of Newcastle upon Tyne, August 1976

by Edited by Czes Kosniowski

• ISBN13: 9780521215091
• ISBN10: 0521215099
• Format: Paperback
• Copyright: 1977-03-25
• Publisher: Cambridge University Press

Summary

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.

Table of Contents

Generators and relations for groups of homeomorphisms

Affine embeddings of real Lie groups

Equivariant regular neighbourhoods

Characteristic numbers and equivariant spin cobordism

Equivariant K-theory and cyclic subgroups

Z/p manifolds with low dimensional fixed point set

Gaps in the relative degree of symmetry

Characters do not lie

Actions of Z/2n on S3

Periodic homeomorphisms on non-compact 3 manifolds

Equivariant function spaces and equivariant stable homotopy theory

A property of a characteristic class of an orbit foliation

Orbit structure for Lie group actions on higher cohomology projective spaces

On the existence of group actions on certain manifolds

Summaries and Surveys

Proper transformation groups

Problems on group actions on Q manifolds

A non-abelian view of abelian varieties

Non compact Lie groups of transformation and invariant operator measures on homogenous spaces in Hilbert space

Approximation of simplicial G-maps by equivariantly non degenerate maps

Equivariant Riemann-Roch type theorems and related topics

Knots and diffeomorphisms

Some remarks on free differentiable involuetions on homotopy spheres

Compact transitive isometry spaces

A problem of Breson concerning homology manifolds

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