Universally Kuratowski–Ulam spaces

David Fremlin; Tomasz Natkaniec; Ireneusz Recław

Displaying similar documents to “Universally Kuratowski–Ulam spaces”

The algebraic dimension of linear metric spaces and Baire properties of their hyperspaces.

Taras Banakh, Anatolij Plichko (2006)

RACSAM

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Answering a question of Halbeisen we prove (by two different methods) that the algebraic dimension of each infinite-dimensional complete linear metric space X equals the size of X. A topological method gives a bit more: the algebraic dimension of a linear metric space X equals |X| provided the hyperspace K(X) of compact subsets of X is a Baire space. Studying the interplay between Baire properties of a linear metric space X and its hyperspace, we construct a hereditarily Baire linear...

“More or less" first-return recoverable functions.

Evans, M.J., Humke, P.D. (2003)

Acta Mathematica Universitatis Comenianae. New Series

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Infinite combinatorics in Function spaces: Category methods

N. H. Bingham, A. J. Ostaszewski (2009)

Publications de l'Institut Mathématique

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Representing trees as relatively compact subsets of the first Baire class

S. Todorčević (2005)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Measurability of functions with approximately continuous vertical sections and measurable horizontal sections

M. Laczkovich, Arnold Miller (1996)

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On a class of densities of sets of positive integers.

Mačaj, M., Mišík, L., Šalát, T., Tomanová, J. (2003)

Acta Mathematica Universitatis Comenianae. New Series

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Fragmentability and σ-fragmentability

J. Jayne, I. Namioka, C. Rogers (1993)

Fundamenta Mathematicae

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Recent work has studied the fragmentability and σ-fragmentability properties of Banach spaces. Here examples are given that justify the definitions that have been used. The fragmentability and σ-fragmentability properties of the spaces $ℓ^{\infty}$ and $ℓ_{c}^{\infty} (Γ)$ , with Γ uncountable, are determined.

A generalization of Baire category in a continuous set.

King, B. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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On uncountable unions and intersections of measurable sets.

Balcerzak, M., Kharazishvili, A. (1999)

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Functions and Baire spaces

Zbigniew Duszyński (2011)

Kragujevac Journal of Mathematics

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On the Baire order of concentrated spaces and $L_{1}$ spaces

Jack Brown (1977)

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