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FIXEDPOINTS OF BOUNDARYPRESERVING MAPS OF SURFACES
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UNSPECIFIED. (1993) FIXEDPOINTS OF BOUNDARYPRESERVING MAPS OF SURFACES. PACIFIC JOURNAL OF MATHEMATICS, 158 (2). pp. 243264. ISSN 00308730
Full text not available from this repository.Abstract
Let X be a compact 2manifold with nonempty boundary partial derivative X. Given a boundarypreserving map f: (X, partial derivative X) > (X, partial derivative X), let MF(partial derivative)[f] denote the minimum number of fixed points of all boundarypreserving maps homotopic to f as maps of pairs and let N(partial derivative)(f) be the relative Nielsen number of f in the sense of Schirmer [S]. Call X boundaryWecken, bW, if MF(partial derivative)[J] = N(partial derivative)(f) for all boundarypreserving maps of X, almost bW if MF(partial derivative)[f]  N(partial derivative)(f) is bounded for all such f, and totally nonbW otherwise. We show that if the euler characteristic of X is nonnegative, then X is bW. On the other hand, except for a relatively small number of cases, we demonstrate that the 2manifolds of negative euler characteristic are totally nonbW. For one of the remaining cases, the pants surface P, we use techniques of transversality theory to examine the fixed point behavior of boundarypreserving maps of P, and show that P is almost bW.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Journal or Publication Title:  PACIFIC JOURNAL OF MATHEMATICS  
Publisher:  PACIFIC JOURNAL MATHEMATICS  
ISSN:  00308730  
Official Date:  April 1993  
Dates: 


Volume:  158  
Number:  2  
Number of Pages:  22  
Page Range:  pp. 243264  
Publication Status:  Published  
URI:  http://wrap.warwick.ac.uk/id/eprint/21474 
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