Results 61 to 70 of about 337,654 (135)

Embedding cosmic spaces in Lusin spaces

open access: yes, 1983
We show that every regular cosmic space can be embedded in a Lusin space. This answers a question posed by J. P. R. Christensen.
Amer Bešlagić
core   +1 more source

Invited Talks and TutorialsA Constructive Version of the Lusin Separation Theorem

open access: yes, 2014
The Lusin Separation Theorem is one of the fundamental early results of classical descriptive set theory. It states that if A1,A2 are disjoint analytic subsets of Baire space then they are Borel separable. Yiannis Moschovakis gives two proofs in his book,
Krzysztof R. Apt, Peter Aczel
core  

Exceptional Values of Metric Density [PDF]

open access: yes, 1958
Lebesgue\u27s density theorem states that at almost every point of a measurable set S in En, the metric density of S exists and is 1 and at almost every point of the complement of S, the density of S exists and is 0.
Martin, N. F. G.
core   +1 more source

Convergence of ap-Henstock-Kurzweil integral on locally compact spaces

open access: yes
summary:We introduce an ap-Henstock-Kurzweil type integral with a non-atomic Radon measure and prove the Saks-Henstock type lemma. The monotone convergence theorem, $\mu _{\rm ap}$-Henstock-Kurzweil equi-integrability, and uniformly strong Lusin ...
Hazarika, Bipan   +2 more
core   +1 more source

Every Lusin set is undetermined in the point-open game [PDF]

open access: yes, 1994
We show that some classes of small sets are topological versions of some combinatorial properties. We also give a characterization of spaces for which White has a winning strategy in the point-open game.
Recław, Ireneusz
core  

Measurable Multivalued Mappings and Lusin's Theorem [PDF]

open access: yesTransactions of the American Mathematical Society, 1968
openaire   +1 more source

Marcinkiewicz's theorem and its generalizations

open access: yes, 2004
In this thesis, we obtained some generaliszations of a theorem of Marcinkiewicz. The main tools of the proofs in this thesis are Weierstrass' approximation theorem, Lusin's theorem and Egoroff's theorem. In the one variable generalization,
Ko, Hong Fu
core  

Sur un théorème de M. Lusin [PDF]

open access: yes, 1924
Monsieur Lusin a démontre que l'ensemble des valeurs admises par une fonction aux points ou la dérivée unique existe et égale à 0, est de mesure nulle.
Saks, Stanisław
core  

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