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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 682–697 (Mi smj1870)  
This article is cited in 1 scientific paper (total in 1 paper)

Dimension scales of bicompacta

V. V. Fedorchuk

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: We introduce the notion of a (stable) dimension scale $d-sc(X)$ of a space $X$, where $d$ is a dimension invariant. A bicompactum $X$ is called dimensionally unified if $\dim F=\dim_GF$ for every closed $F\subset X$ and for an arbitrary abelian group $G$. We prove that there exist dimensionally unified bicompacta with every given stable scale $\dim-sc$.
Keywords: dimension, cohomological dimension, bicompactum, dimension scale.
Received: 23.12.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 549–561
DOI: https://doi.org/10.1007/s11202-008-0052-6
Bibliographic databases:
UDC: 515.127+515.142
Language: Russian
Citation: V. V. Fedorchuk, “Dimension scales of bicompacta”, Sibirsk. Mat. Zh., 49:3 (2008), 682–697; Siberian Math. J., 49:3 (2008), 549–561
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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