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Some topics in geometric topology. (English) Zbl 1028.57001

Hušek, Miroslav (ed.) et al., Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19-25, 2001. Amsterdam: Elsevier. 287-311 (2002).
This article is a survey of the important results and non-solved hypotheses in chosen topics such as: generalized manifolds, characterizations of manifolds, cohomological dimension theory, \(Z\)- and Higson-Roe compactifications, approximate fibrators.
For the entire collection see [Zbl 1005.00037].

MSC:

57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
57P99 Generalized manifolds
55M10 Dimension theory in algebraic topology
54F45 Dimension theory in general topology
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
55R65 Generalizations of fiber spaces and bundles in algebraic topology