Abstract

Given a homogeneous compactum X, a general method of constructing homogeneous compacta as inverse limit spaces lim{Xn, bn} is introduced, where Xn are covering spaces for X and bn are covering mappings. If [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] is the Menger universal curve, a variant of this construction provides a homogeneous, arcwise connected, non-locally connected curve. This answers a question of K. Kuperberg.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 649-675
Launched on MUSE
2002-08-01
Open Access
No
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