*Frontmatter, pg. i*TABLE OP CONTENTS, pg. v*INTRODUCTION, pg. 1*CHAPTER I: COHOMOLOGY MANIFOLDS, pg. 5*CHAPTER II: HOMOLOGY AND DUALITY IN GENERALIZED MANIFOLDS, pg. 23*CHAPTER III: PERIODIC MAPS VIA SMITH THEORY, pg. 35*CHAPTER IV: THE ACTION OF Zp OR T1 : GLOBAL THEOREMS, pg. 49*CHAPTER V: THE ACTION OF Zp T1 : LOCAL THEOREMS, pg. 67*CHAPTER VI: ISOTROPY SUBGROUPS OP TORAL GROUPS, pg. 85*CHAPTER VII: FINITENESS OP NUMBER OF ORBIT TYPES, pg. 93*CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS, pg. 101*CHAPTER IX: ORBITS OF HIGHEST DIMENSION, pg. 117*CHAPTER X: THE SPECTRAL SEQUENCE OF A BIFILTERED MODULE,, pg. 133*CHAPTER XI: THE SPECTRAL SEQUENCE OF FARY, pg. 145*CHAPTER XII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS I, pg. 157*CHAPTER XIII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS II, pg. 173*CHAPTER XIV: ONE OR W O CLASSES OF ORBITS, pg. 185*CHAPTER XV: FIXED POINT SETS AND ORBITS OF COMPLEMENTARY DIMENSION, pg. 195*CHAPTER XVI: REMARKS ON THE SPECTRAL SEQUENCE OF A MAP, pg. 233*Backmatter, pg. 246