[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2005.42.2.307

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.2, 2005 , pp. 307-313 More about this Journal

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;

Citations & Related Records

Reference

1	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
2	H. Ben-El-Mechaiekh, Spaces and maps approximation and fixed points, J. Comput. Appl. Math. 113 (2000), 283-308 DOI ScienceOn
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