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Let X be a Hausdorff topological space and let Q(X,R) be the space of all quasicontinuous functions on X with values in R and τp be the topology of pointwise convergence. We prove that Q(X,R) is dense in RX equipped with the product topology. We characterize some cardinal invariants...
topology of pointwise convergenceIn [HOL, .—HOL, D.: Pointwise convergence of quasicontinuous mappings and Baire spaces, Rocky Mountain J. Math.] a complete answer is given, for a Baire space X, to the question of when the pointwise limit of a sequence of real-valued quasicontinuous ...
Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence 来自 国家科技图书文献中心 喜欢 0 阅读量: 17 作者: AN Dranishnikov 摘要: The author considers the functors F:SP n , exp n and P n . Some properties of the F-valued absolute retracts are proved...
In [HOLÁ, Ľ.—HOLÝ, D.: Pointwise convergence of quasicontinuous mappings and Baire spaces, Rocky Mountain J. Math.] a complete answer is given, for a Baire space X, to the question of when the pointwise limit of a sequence of real-valued quasicontinuous functions defined on X is...
topology of pointwise convergencesigma-compactnessK-analytic spacesIn studies of the boundary layer on a flat plate, two very different sets of asymptotic ... PW Hammerton - 《Quarterly Journal of Mechanics & Applied Mathematics》 被引量: 17发表: 1999年 Layer compactness in L-fuzzy topological sp...
1.Topographic study of a given place, especially the history of a region as indicated by its topography. 2.MedicineThe anatomical structure of a specific area or part of the body. 3.Mathematics a.The study of certain properties that do not change as geometric figures or spaces undergo continu...
摘要: For a non-compact locally compact second countable Hausdorff space X, let USCC( X ) be the family of all the upper-semicontinuous fuzzy sets on X with non-empty compact supports. We show that the space USCC( X ) with the topology induced by Γ-convergence is homeomorphic to the...
Posted inAdvanced Topics,First uncountable ordinal,Function space|TaggedCountable tight space,Frechet spaceFrechet-Urysohn SpaceFunction space,General topology,Normal space,Omega 1,Point-set topology,Pointwise convergence topology,Topology|1Reply Cp(omega 1 + 1) is monolithic and Frechet-Urysohn ...
Counterexample to a problem of Geoghegan-West Let be a Banach space and its general linear group. Let denote the operator norm and ''' the pointwise convergence topology on . Is the identity map a hom... PV Semenov - 《Proc.amer.math.soc》 被引量: 4发表: 1996年 On exponential groups...