In mathematics, a Lusin space or Luzin space, named for N. N. Luzin, may mean:
In general topology, Polish space #Lusin spaces, image of a Polish space under a bijective continuous map
In descriptive set theory and general topology, Luzin space or Luzin set, a hypothetical uncountable topological T1 space without isolated points in which every nowhere-dense subset is at most countable
Topics referred to by the same term
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cardinality of the continuum. Lusinspaces, Suslin spaces, and Radon spaces are generalizations of Polish spaces. Every Polish space is second countable (by...
mathematics, a Lusinspace or Luzin space, named for N. N. Luzin, may mean: In general topology, Polish space #Lusinspaces, image of a Polish space under a...
In mathematics, a Luzin space (or Lusinspace), named for N. N. Luzin, is an uncountable topological T1 space without isolated points in which every nowhere-dense...
superprocesses: Instead of R {\displaystyle \mathbb {R} } , the state space can now be any Lusinspace E {\displaystyle E} . The underlying motion of the particles...
standard Borel space turns it into a standard probability space. An example of a subset of the reals that is non-Borel, due to Lusin, is described below...
like differentiability extend to normed spaces. Differential geometry of surfaces Integration along fibers Lusin's theorem Density on a manifold This is...
any continuous function converges almost everywhere was posed by Nikolai Lusin in the 1920s. It was resolved positively in 1966 by Lennart Carleson. His...
Lyusternik-Schnirelmann theory with Lev Schnirelmann. Nikolai Lusin, developed Luzin's theorem, Luzin spaces and Luzin sets in descriptive set theory Aleksandr Lyapunov...
math.nsc.ru (in Russian). Retrieved 19 June 2023. A.P. Yushkevich, The Lusin Affair (in Russian). Salsburg, p. 139. Gleick, James (2012). The Information:...
Baire", Comptes Rendus de l'Académie des Sciences, Série I, 164: 91–94 N.N. Lusin, "Leçons sur les ensembles analytiques et leurs applications", Gauthier-Villars...
129: 17–33. doi:10.4064/fm-129-1-17-33. Recław, Ireneusz (1994). "Every Lusin set is undetermined in the point-open game". Fundamenta Mathematicae. 144:...
2000, p. 20. Upward 1997, pp. 22–24, 36. Goldberg, David; Looney, Dennis; Lusin, Natalia (1 February 2015). "Enrollments in Languages Other Than English...
Earth very well. Fiancé (then husband) of Vera Gamazina, Eli's sister. Lusin — an alumnus of a school in the Himalayas, a biologist at the New Forms...
April 8, 2016. Retrieved October 17, 2015. Goldberg, David; Looney, Dennis; Lusin, Natalia (February 2015). "Enrollments in Languages Other Than English in...
geometry (Lobachevskian or hyperbolic geometry) Nikolai Lusin, developed Luzin's theorem, Luzin spaces and Luzin sets in descriptive set theory Aleksandr Lyapunov...
from the original on 7 March 2022. Retrieved 7 March 2022. Looney, Dennis; Lusin, Natalia (February 2018). "Enrollments in Languages Other Than English in...
Earth and the other side, known as the "far side of the Moon" faces toward space. In astrology, the Moon is associated with a person's intuition, emotional...
number of vertices. Lusin's separation theorem (descriptive set theory) states that for any two disjoint analytic subsets of a Polish space there is a Borel...
harmonic analysis. One of his most noted accomplishments is his proof of Lusin's conjecture. He was awarded the Abel Prize in 2006 for "his profound and...
Vol. 19, no. 2 (January 1988): 39–44 Goldberg, David; Looney, Dennis; Lusin, Natalia (February 2015). "Enrollments in Languages Other Than English in...
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