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Izvestiya: Mathematics, 2021, Volume 85, Issue 2, Pages 306–331
DOI: https://doi.org/10.1070/IM8995 (Mi im8995) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Properties of monotone path-connected sets

I. G. Tsar'kovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
English version PDF (550 kB) Citations (15) Russian version article
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DOI: https://doi.org/10.1070/IM8995
Abstract: We study monotone path-connected sets and also strongly and weakly Menger-connected sets. We introduce the notion of $\varepsilon$-solarity and establish a connection with the notion of solarity. We prove that boundedly compact suns in $C(Q)$ are monotone path-connected.
Keywords: spans, monotone path-connected sets, Menger connectedness, solarity.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332-a
This paper was written with the financial support of the Russian Foundation of Basic Research (grant no. 19-01-00332-a).
Received: 27.11.2019
Revised: 24.07.2020
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
MSC: 41A65, 52A30, 54C65
Language: English
Original paper language: Russian
Citation: I. G. Tsar'kov, “Properties of monotone path-connected sets”, Izv. Math., 85:2 (2021), 306–331
Citation in format AMSBIB
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\by I.~G.~Tsar'kov
\paper Properties of monotone path-connected sets
\jour Izv. Math.
\yr 2021
\vol 85
\issue 2
\pages 306--331
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\crossref{https://doi.org/10.1070/IM8995}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85105043191}
Linking options:
  • https://www.mathnet.ru/eng/im8995
  • https://doi.org/10.1070/IM8995
  • https://www.mathnet.ru/eng/im/v85/i2/p142
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:436
    Russian version PDF:106
    English version PDF:40
    Russian version HTML:124
    References:51
    First page:8
     
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