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On dense subsets, convergent sequences and projections of Tychonoff products

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Publication:1680130
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DOI10.1016/J.TOPOL.2017.10.021zbMath1380.54013OpenAlexW2765549164MaRDI QIDQ1680130

Anatoly Gryzlov

Publication date: 22 November 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2017.10.021


zbMATH Keywords

productseparableconvergent sequenceindependent matrixbox productdiscrete space


Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10)


Related Items (4)

To the Hewitt-Marczewski-Pondiczery theorem ⋮ On the density and products of spaces ⋮ On dense subsets of Tychonoff products of \(T_{1}\)-spaces ⋮ Sequences and dense sets




Cites Work

  • On independent matrices and dense subsets of Tychonoff products
  • On the Rudin-Keisler order on ultrafilters
  • About dense subsets of Tychonoff products of discrete spaces
  • On dense subsets of Tychonoff products
  • Some theorems of set theory and their topological consequences
  • A Sequentially Closed Countable Dense Subset of I 1
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