PERIODIC TRANSFORMATIONS AND FIXED POINT THEOREMS——Ⅱ.MANIFOLDS

【摘要】 <正> This paper is the continuation of a previous note.Herewe consider a transformation T of prime period acting on a compactorientable n-dimensional manifold M~n,n1.We study local specialcohomology properties relative to M~n of a closed subset S of M~nwhich is invariant under T,and in particular,of the fixed point setof T in M~n.The approach to this is a combination of duality inM~n and the theorem together with its generalization in [3,§§5,8].The main aim of Chapter I here is to prepare for applications in alater paper.更多还原