Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A NOTE ON THE LEFSCHETZ FIXED POINT THEOREM FOR ADMISSIBLE SPACES

  • AGARWAL, RAVI P. (DEPARTMENT OF MATHEMATICAL SCIENCES, FLORIDA INSTITUTE OF TECHNOLOGY, MELOURNE) ;
  • O'REGAN DONAL (DEPARTMENT OF MATHEMATICS, NATIONAL UNIVERSITY OF IRELAND)
  • Published : 2005.05.01
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Abstract

The Lefschetz fixed point theorem is extended to compact continuous maps defined on an admissible subset of a Hausdorff topological space.

Keywords

References

  1. H. Ben-El-Mechaiekh, Spaces and maps approximation and fixed points, J. Comput. Appl. Math. 113 (2000), 283-308 https://doi.org/10.1016/S0377-0427(99)00262-9
  2. G. Fournier and A. Granas, The Lefschetz fixed point theorem for some classes of non-metrizable spaces, J. Math. Pures Appl. 52 (1973), 271-284
  3. A. Granas, Generalizing the Hopf-Lefschetz fixed point theorem for non-compact ANR's, Symp. on Infinite Dimensional Topology (Louisiana State Univ., Baton Rouge, La. 1967), Ann. of Math. Stud. 1972, no. 69. 119-130
  4. J. L. Kelley, General Topology, D. Van Nostrand Reinhold Co. New York, 1955

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