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Open images of compactifications of the ray

Published online by Cambridge University Press:  17 April 2009

Marwan M. Awartani
Marwan M. Awartani
Affiliation:
Department of Mathematics, Faculty of Science, United Arab Emirates University, P.O. Box 15551, Al-Ain, United Arab Emirates
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Abstract

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Let X be a compactification of the ray with the arc as remainder. The following characterisation of the open images of X is obtained: Let h: X → Y be an open onto map. If Y is not homeomorphic to [0, 1] or the one-point space, then h is a homeomorphism. In 1977 open images of the usual sin (1/x) continuum were characterised by Professor Sam B. Nadler.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 303 - 306
Copyright
Copyright © Australian Mathematical Society 1991

References

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