Transfinite large inductive dimensions modulo absolute Borel classes

DOI10.2969/JMSJ/06120327zbMath1173.54014OpenAlexW2026759926MaRDI QIDQ1030010

Vitalij A. Chatyrko, Yasunao Hattori

Publication date: 1 July 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/2/61_327/_article

zbMATH Keywords

separable metrizable spacetransfinite inductive dimensionabsolutely additive or multiplicative Borel classinductive dimension modulo a class

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Dimension theory in general topology (54F45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (2)

Around a Hurewicz's formula ⋮ On dimensional properties of the generalized Smirnov's spaces

Cites Work

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• The Baire-category method in some compact extension problems
• On transfinite inductive dimension and deficiency modulo a class \(\mathcal P\)
• New dimension-theory techniques for constructing infinite-dimensional examples
• Infinite-Dimensionality modulo Absolute Borel Classes
• On transfinite inductive compactness degree
• Dimension and mappings of spaces with finite deficiency
• Completeness degree (A generalization of dimension)

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