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Matematicheskie Zametki, 2011, Volume 90, Issue 3, Pages 408–421
DOI: https://doi.org/10.4213/mzm6616
(Mi mzm6616)
 

This article is cited in 1 scientific paper (total in 1 paper)

Embedding of Products $Q(k)\times B(\tau)$ in Absolute $A$-Sets

S. V. Medvedev

South Ural State University, Chelyabinsk
Full-text PDF (509 kB) Citations (1)
References:
Abstract: Theorems about closed embeddings in absolute $A$-sets of the products $Q(k)\times B(\tau)$, $Q(k)\times \nobreak\mathscr N$, and $Q(k)\times C$ are proved. These are generalizations to the nonseparable case of theorems of Saint-Raymond, van Mill, and van Engelen about closed embeddings in separable absolute Borel sets of the products $Q\times \mathscr N$ and $Q\times C$, where $Q$ is the space of rational numbers, $C$ is the Cantor perfect set, and $\mathscr N$ is the space of irrational numbers.
Keywords: rational and irrational numbers, Cantor set, absolute $A$-set, $G_\delta$-set, $F_\sigma$-set, closed embedding, metric space, complete metric space, absolute Borel set, Baire space.
Received: 27.10.2008
English version:
Mathematical Notes, 2011, Volume 90, Issue 3, Pages 398–410
DOI: https://doi.org/10.1134/S0001434611090082
Bibliographic databases:
Document Type: Article
UDC: 515.128
Language: Russian
Citation: S. V. Medvedev, “Embedding of Products $Q(k)\times B(\tau)$ in Absolute $A$-Sets”, Mat. Zametki, 90:3 (2011), 408–421; Math. Notes, 90:3 (2011), 398–410
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm6616
  • https://doi.org/10.4213/mzm6616
  • https://www.mathnet.ru/eng/mzm/v90/i3/p408
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:504
    Full-text PDF :185
    References:69
    First page:5
     
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