A NOTE ON THE LEFSCHETZ FIXED POINT THEOREM FOR ADMISSIBLE SPACES

AGARWAL, RAVI P.; O'REGAN DONAL

doi:10.4134/BKMS.2005.42.2.307

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A NOTE ON THE LEFSCHETZ FIXED POINT THEOREM FOR ADMISSIBLE SPACES

Journal title : Bulletin of the Korean Mathematical Society
Volume 42, Issue 2, 2005, pp.307-313
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2005.42.2.307

Title & Authors

A NOTE ON THE LEFSCHETZ FIXED POINT THEOREM FOR ADMISSIBLE SPACES
AGARWAL, RAVI P.; O'REGAN DONAL;

Abstract

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

Keywords

Lefschetz fixed point theorem;compact continuous maps;admissible subset;Hausdorff topological space;

Language

English

Cited by

1time(s) in CrossRef

On a generalized Poincaré-Hopf formula in infinite dimensions, Discrete and Continuous Dynamical Systems, 2010, 29, 3, 953

References

H. Ben-El-Mechaiekh, Spaces and maps approximation and fixed points, J. Comput. Appl. Math. 113 (2000), 283-308

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

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

J. L. Kelley, General Topology, D. Van Nostrand Reinhold Co. New York, 1955