Relative uniform convergence in vector lattices: odds and ends

DOI10.1007/s10958-023-06637-1OpenAlexW4388204288MaRDI QIDQ6197148

Eduard Yu. Emel'yanov

Publication date: 16 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06637-1

zbMATH Keywords

vector latticer-convergencer-completionArchimedization

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Ordered topological linear spaces, vector lattices (46A40) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90)

Cites Work

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• Pre-Riesz spaces
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• Archimedean quotient Riesz spaces
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• Неограниченная порядковая сходимость и теорема Гордона
• Order convergence is not topological in infinite-dimensional vector lattices
• Relatively Uniform Convergence in Partially Ordered Vector Spaces Revisited
• Vector spaces with an order unit

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