On the sum and difference of two sets in topological vector spaces
Zygfryd Kominek (1971)
Fundamenta Mathematicae
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Zygfryd Kominek (1971)
Fundamenta Mathematicae
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Arhangel’skii, Alexander, Choban, Mitrofan, Mihaylova, Ekaterina (2012)
Union of Bulgarian Mathematicians
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Александър В. Архангелски, Митрофан М. Чобан, Екатерина П. Михайлова - Изследвани са прирасти със свойството на Бер на топологични групи. In this paper we study the remainders with Baire property of topological groups. ∗2000 Mathematics Subject Classification: 54A35, 63E35, 54D50. Partially supported by a contract of Sofia University of 2012.
Bożena Świątek (2004)
Colloquium Mathematicae
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We investigate the topological structure of the space 𝓓ℬ₁ of bounded Darboux Baire 1 functions on [0,1] with the metric of uniform convergence and with the p*-topology. We also investigate some properties of the set Δ of bounded derivatives.
J. Anusiak, K. P. Shum (1971)
Colloquium Mathematicae
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G. J. Michaelides (1975)
Colloquium Mathematicae
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Eliza Jabłońska (2009)
Colloquium Mathematicae
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Let X be a real linear topological space. We characterize solutions f:X → ℝ and M:ℝ → ℝ of the equation f(x+M(f(x))y) = f(x)f(y) under the assumption that f and M have the Darboux property.
P. Doyle (1975)
Fundamenta Mathematicae
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Zdeněk Frolík (1959)
Czechoslovak Mathematical Journal
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Srinivasan, Jayadev (1967)
Portugaliae mathematica
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David Buhagiar, Emmanuel Chetcuti, Anatolij Dvurečenskij (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is shown that Čech completeness, ultracompleteness and local compactness can be defined by demanding that certain equivalences hold between certain classes of Baire measures or by demanding that certain classes of Baire measures have non-empty support. This shows that these three topological properties are measurable, similarly to the classical examples of compact spaces, pseudo-compact spaces and realcompact spaces.
T. Nadzieja, J. Šiska (1988)
Applicationes Mathematicae
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