J Austral Math Soc Ser A 43 pp127--136, 1987.

Continuous Nilpotents on Topological Spaces

R. P. Sullivan

(Received 27 August 1984; revised 21 October 1986)

Abstract

K. D. Magill has investigated the semigroup generated by the idempotent continuous mappings of a topological space into itself and examined whether this semigroup determines the space to within homeomorphism. By analogy with this (and related work of Bridget Bos Baird) we now consider the semigroup generated by nilpotent continuous partial mappings of a space into itself.

1980 AMS Subject Classification: primary 54C05; secondary 20M20

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Authors

R. P. Sullivan: Department of Mathematics, University of Western Australia, Nedlands, 6009, Australia.

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Last Modified: Wed Feb 26 16:48:07 2003