On dimension of inverse limits with upper semicontinuous set-valued bonding functions

We give results about the dimension of continua, obtained by combining inverse limits of inverse sequences of metric spaces and one-valued bonding maps with inverse limits of inverse sequences of metric spaces and upper semicontinuous set-valued bonding functions, by standard procedure introduced in...

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Bibliographic Details
Published in:Topology and its applications 2007-08, Vol.154 (15), p.2771-2778
Main Author: Banič, Iztok
Format: Article
Language:English
Subjects:
Continua
Inverse limits
Upper semicontinuous set-valued functions
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Summary:We give results about the dimension of continua, obtained by combining inverse limits of inverse sequences of metric spaces and one-valued bonding maps with inverse limits of inverse sequences of metric spaces and upper semicontinuous set-valued bonding functions, by standard procedure introduced in [I. Banič, Continua with kernels, Houston J. Math. (2006), in press].
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2007.06.002