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Doklady Akademii Nauk SSSR, 1970, Volume 195, Number 1, Pages 43–45 (Mi dan35765)  
MATHEMATICS

An $n$-dimensional cube cannot be decomposed into a countable union of proper closed subsets whose pairwise intersections are of dimension no greater than $n-2$

N. Hadzhiivanov

Lomonosov Moscow State University
Full-text PDF (504 kB)
Presented: P. S. Aleksandrov
Received: 04.04.1970
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: N. Hadzhiivanov, “An $n$-dimensional cube cannot be decomposed into a countable union of proper closed subsets whose pairwise intersections are of dimension no greater than $n-2$”, Dokl. Akad. Nauk SSSR, 195:1 (1970), 43–45
Citation in format AMSBIB
\Bibitem{Had70}
\by N.~Hadzhiivanov
\paper An $n$-dimensional cube cannot be decomposed into a countable union of proper closed subsets whose pairwise
intersections are of dimension no greater than $n-2$
\jour Dokl. Akad. Nauk SSSR
\yr 1970
\vol 195
\issue 1
\pages 43--45
\mathnet{http://mi.mathnet.ru/dan35765}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=0275399}
\zmath{https://zbmath.org/?q=an:0223.54025}
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  • https://www.mathnet.ru/eng/dan/v195/i1/p43
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