# Nielsen fixed point theory on manifolds

Banach Center Publications (1999)

- Volume: 49, Issue: 1, page 19-27
- ISSN: 0137-6934

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topBrown, Robert. "Nielsen fixed point theory on manifolds." Banach Center Publications 49.1 (1999): 19-27. <http://eudml.org/doc/208959>.

@article{Brown1999,

abstract = {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.},

author = {Brown, Robert},

journal = {Banach Center Publications},

keywords = {Nielsen theory; Wecken map; Reidemeister number},

language = {eng},

number = {1},

pages = {19-27},

title = {Nielsen fixed point theory on manifolds},

url = {http://eudml.org/doc/208959},

volume = {49},

year = {1999},

}

TY - JOUR

AU - Brown, Robert

TI - Nielsen fixed point theory on manifolds

JO - Banach Center Publications

PY - 1999

VL - 49

IS - 1

SP - 19

EP - 27

AB - 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.

LA - eng

KW - Nielsen theory; Wecken map; Reidemeister number

UR - http://eudml.org/doc/208959

ER -

## References

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