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1999 | 49 | 1 | 19-27

Tytuł artykułu

Nielsen fixed point theory on manifolds

Autorzy

Treść / Zawartość

Języki publikacji

EN

Abstrakty

EN
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.

Rocznik

Tom

49

Numer

1

Strony

19-27

Daty

wydano
1999

Twórcy

  • Department of Mathematics, University of California, Los Angeles, CA 90095-1555, U.S.A.

Bibliografia

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  • [4] R. Brown, Wecken properties for manifolds, in: Proceedings of the Conference on Nielsen Theory and Dynamical Systems, Contemp. Math. 152, 1993, 9-21.
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