Literature Cited
K. Borsuk, “Concerning homotopy properties of compacts,” Fund. Math.,62, No. 3, 223–254 (1968).
S. Mardešić and J. Segal, “Shapes of compacta and ANR-systems,” Fund. Math.,72, No. 1, 41–59 (1971).
S. Mardešić and J. Segal, “Equivalence of the Borsuk and ANR-system approach to shapes,” Fund. Math.,72, No. 1, 61–68 (1971).
P. S. Aleksandrov, Combinatorial Topology [in Russian], Gostekhizdat, Moscow-Leningrad (1947).
P. S. Aleksandrov and B. A. Pasynkov, Introduction to Dimension Theory [in Russian], Nauka, Moscow (1973).
M. M. Postnikov, Introduction to Morse Theory [in Russian], Nauka, Moscow (1971).
Additional information
V. I. Lenin State Pedagogic Institute, Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 1, pp. 128–140, January–February, 1979.
Rights and permissions
About this article
Cite this article
Rubanov, I.S. Characterization of the shapes of compact spaces with the aid of the spectra of their nerves of coverings. Sib Math J 20, 92–100 (1979). https://doi.org/10.1007/BF00976133
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00976133