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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 1, Pages 52–56 (Mi timm527)  
This article is cited in 1 scientific paper (total in 1 paper)

Maps of the Sorgenfrey line

N. V. Velichko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (136 kB) Citations (1)
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Abstract: Three theorems are presented concerning continuous maps of the Sorgenfrey line $S$ onto the real line $R$. The first theorem proves the existence of an open map, the second theorem establishes the nonexistence of an open countably-multiple map, and the third theorem states the impossibility of a weakly closed map.
Keywords: Sorgenfrey line, real line, open map, weakly closed map, $d$-map, $c$-to-1 map.
Received: 09.06.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 1, Pages S287–S291
DOI: https://doi.org/10.1134/S0081543811020209
Bibliographic databases:
Document Type: Article
UDC: 515.126.2+515.122.2
Language: Russian
Citation: N. V. Velichko, “Maps of the Sorgenfrey line”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 1, 2010, 52–56; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S287–S291
Citation in format AMSBIB
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\paper Maps of the Sorgenfrey line
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\issue 1
\pages 52--56
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2011
\vol 272
\issue , suppl. 1
\pages S287--S291
\crossref{https://doi.org/10.1134/S0081543811020209}
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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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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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