On the resolvability of locally connected spaces

Author:
Camillo Costantini

Journal:
Proc. Amer. Math. Soc. **133** (2005), 1861-1864

MSC (2000):
Primary 54D05, 54D10; Secondary 54A25

Published electronically:
November 19, 2004

MathSciNet review:
2120288

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Abstract | References | Similar Articles | Additional Information

Abstract: We solve a problem of Padmavally about resolvability of locally connected spaces, in the case where the space under consideration is regular.

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Additional Information

**Camillo Costantini**

Affiliation:
Department of Mathematics, University of Torino, via Carlo Alberto 10, 10123 Torino, Italy

Email:
costanti@dm.unito.it

DOI:
http://dx.doi.org/10.1090/S0002-9939-04-07682-8

Keywords:
Resolvable space,
locally connected space,
connected space,
regular space,
$\pi$-base

Received by editor(s):
February 4, 2003

Received by editor(s) in revised form:
February 16, 2004

Published electronically:
November 19, 2004

Communicated by:
Alan Dow

Article copyright:
© Copyright 2004
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.