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. `http://www.elsevier.com/locate/topol` `http://www.sciencedirect.com`

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