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Characterization of the shapes of compact spaces with the aid of the spectra of their nerves of coverings. (English) Zbl 0426.54022

MSC:

54C56 Shape theory in general topology
54B35 Spectra in general topology
55P55 Shape theory

Citations:

Zbl 0419.54019
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Full Text: DOI

References:

[1] K. Borsuk, ?Concerning homotopy properties of compacts,? Fund. Math.,62, No. 3, 223-254 (1968). · Zbl 0159.24603
[2] S. Marde?i? and J. Segal, ?Shapes of compacta and ANR-systems,? Fund. Math.,72, No. 1, 41-59 (1971). · Zbl 0222.55017
[3] S. Marde?i? and J. Segal, ?Equivalence of the Borsuk and ANR-system approach to shapes,? Fund. Math.,72, No. 1, 61-68 (1971). · Zbl 0222.55018
[4] P. S. Aleksandrov, Combinatorial Topology [in Russian], Gostekhizdat, Moscow-Leningrad (1947).
[5] P. S. Aleksandrov and B. A. Pasynkov, Introduction to Dimension Theory [in Russian], Nauka, Moscow (1973).
[6] M. M. Postnikov, Introduction to Morse Theory [in Russian], Nauka, Moscow (1971). · Zbl 0231.10001
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