Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article

The Sorgenfrey line has a locally pathwise connected connectification

Author(s): Alessandro Fedeli; Attilio Le Donne
Journal: Proc. Amer. Math. Soc. 129 (2001), 311-314.
MSC (2000): Primary 54D35, 54D05
Posted: July 27, 2000
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: We answer a question of Alas, Tkacenko, Tkachuk and Wilson by constructing a connected locally pathwise connected Hausdorff space in which the Sorgenfrey line can be densely embedded.

References:

1.: O.T. Alas, M.G. Tkacenko, V.V. Tkachuk and R.G. Wilson, Connectedness and local connectedness of topological groups and extensions, preprint.
2.: A. Emeryk and W. Kulpa, The Sorgenfrey line has no connected compactification, Comm. Math. Univ. Carolinae 18 (1977), 483-487. MR 57:1422
3.: R. Engelking, General Topology, Sigma series in Pure Mathematics 6, Heldermann Verlag, Berlin, 1989. MR 91c:54001
4.: A. Fedeli and A. Le Donne, Dense embeddings in pathwise connected spaces, Topology and its Applications 96 (1999), 15-22. CMP 99:16
5.: J. Porter and J. Vermeer, Spaces with coarser minimal Hausdorff topologies, Trans. Amer. Math. Soc. 289 (1985), 59-71. MR 86h:54030
6.: S. Watson and S. Wilson, Embeddings in connected spaces, Houston J. Math. 19 (1993), no. 3, 469-481. MR 94k:54040


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS