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Topological spaces and Abian structures

Published online by Cambridge University Press:  17 April 2009

Ralph Fox  and
Ivan L. Reilly
Ralph Fox
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand.
Ivan L. Reilly
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand.
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Abstract

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This paper characterizes topological spaces which have an Abian structure - a uniform-like structure of the covering type.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 3 , June 1978 , pp. 429 - 437
Copyright
Copyright © Australian Mathematical Society 1978

References

[1]Abian, Alexander, “On uniform structures”, Rend. Circ. Mat. Palermo (2) 14 (1965), 202–206.CrossRefGoogle Scholar
[2]Fox, Ralph and Reilly, Ivan L., “Regular spaces and Abian structures”, Rend. Circ. Mat. Palermo (2) 23 (1974), 267–270 (1976).CrossRefGoogle Scholar
[3]Hayes, Allan, “Uniformities with totally ordered bases have paracompact topologies”, Proc. Cambridge philos. Soc. 74 (1973), 67–68.CrossRefGoogle Scholar
[4]Misra, Arvind K., “A topological view of P-spaces”, General Topology and Appl. 2 (1972), 349–362.CrossRefGoogle Scholar
[5]Pears, A.R., “On quasi-order spaces, normality, and paracompactness”, Proc. London Math. Soc. (3) 23 (1971), 428–444.CrossRefGoogle Scholar
[6]Pu, Hwang-Wen, “Concerning a certain uniform structure”, Rend. Circ. Mat. Palermo (2) 21 (1972), 98–102.CrossRefGoogle Scholar
[7]Sikorski, Roman, “Remarks on some topological spaces of high power”, Fund. Math. 37 (1950), 125–136.CrossRefGoogle Scholar