# Accession Number:

## AD0274264

# Title:

## TRANSFORMATION GROUPS ON HOMOLOGICAL MANIFOLDS

# Descriptive Note:

# Corporate Author:

## PENNSYLVANIA UNIV PHILADELPHIA

# Personal Author(s):

# Report Date:

## 1961-01-01

# Pagination or Media Count:

## 80.0

# Abstract:

Let G be a topological transformation group on a compact Hausdorff space Y and FGY its fixed point set. The analysis is devoted to the study of the cohomology structure of FGY in the following three cases 1 G is the group Z2 of integers modulo 2 an Y has the mod 2 cohomology ring of the real projective n-space. 2 G is the group Zp of integers modulo p, where p is an odd prime number, and Y has the mod P cohomology structure of the lense N1- space mod p. 3 G is the circle group S and Y has the integral cohomology ring of the complex projective n-space. For simplicity, we shall call Y a cohomology real projective n-space or a cohomology lense N1-space mod p or a cohomology complex projective n-space if its cohomology structure is that described in 1 OR 2 or 3.

# Descriptors:

# Subject Categories:

- Numerical Mathematics