On the resolvability of locally connected spaces
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- by Camillo Costantini PDF
- Proc. Amer. Math. Soc. 133 (2005), 1861-1864 Request permission
Abstract:
We solve a problem of Padmavally about resolvability of locally connected spaces, in the case where the space under consideration is regular.References
- A. V. Arhangel′skiĭ and P. J. Collins, On submaximal spaces, Topology Appl. 64 (1995), no. 3, 219–241. MR 1342519, DOI 10.1016/0166-8641(94)00093-I
- Ryszard Engelking, General topology, 2nd ed., Sigma Series in Pure Mathematics, vol. 6, Heldermann Verlag, Berlin, 1989. Translated from the Polish by the author. MR 1039321
- Edwin Hewitt, A problem of set-theoretic topology, Duke Math. J. 10 (1943), 309–333. MR 8692
- K. Padmavally, An example of a connected irresolvable Hausdorff space, Duke Math. J. 20 (1953), 513–520. MR 59539
- Oleg Pavlov, On resolvability of topological spaces, Topology Appl. 126 (2002), no. 1-2, 37–47. MR 1934251, DOI 10.1016/S0166-8641(02)00004-4
- Petr Simon, An example of maximal connected Hausdorff space, Fund. Math. 100 (1978), no. 2, 157–163. MR 487978, DOI 10.4064/fm-100-2-157-163
Additional Information
- Camillo Costantini
- Affiliation: Department of Mathematics, University of Torino, via Carlo Alberto 10, 10123 Torino, Italy
- Email: costanti@dm.unito.it
- 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
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1861-1864
- MSC (2000): Primary 54D05, 54D10; Secondary 54A25
- DOI: https://doi.org/10.1090/S0002-9939-04-07682-8
- MathSciNet review: 2120288