Nielsen fixed point theory on manifolds

Volume 49 / 1999

Robert Brown Banach Center Publications 49 (1999), 19-27 DOI: 10.4064/-49-1-19-27


The study of fixed points of continuous self-maps of compact manifolds involves geometric topology in a significant way in topological fixed point theory. This survey will discuss some of the questions that have arisen in this study and indicate our present state of knowledge, and ignorance, of the answers to them. We will limit ourselves to the statement of facts, without any indication of proof. Thus the reader will have to consult the references to find out how geometric topology has contributed to our knowledge in this area. But we hope this overview can supply a framework for a more detailed investigation of this important and, as we shall see, very active branch of fixed point theory.


  • Robert Brown

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