Topology Atlas Document # ppae-31


A locally connected continuum without convergent sequences

Jan van Mill

Proceedings of the Ninth Prague Topological Symposium (2001) pp. 347-352

We answer a question of Juhász by constructing under CH an example of a locally connected continuum without nontrivial convergent sequences.

Mathematics Subject Classification. 54A20, 54F15.
Keywords. continuum, Fedorchuk space, convergent sequence, Continuum Hypothesis.

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Comments. This article is reprinted from Topology and its Applications, in press, Jan van Mill, A locally connected continuum without convergent sequences, Copyright (2002), with permission from Elsevier Science.

Copyright © 2002 Charles University and Topology Atlas. Published April 2002.