On connectivity properties of hyperspaces of spaces
M. Mršević (1979)
Matematički Vesnik
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M. Mršević (1979)
Matematički Vesnik
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Teo Mora (1989)
Publications mathématiques et informatique de Rennes
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S. Topa (1976)
Annales Polonici Mathematici
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Ziqin Feng, Paul Gartside (2013)
Fundamenta Mathematicae
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Necessary conditions and sufficient conditions are given for to be a (σ-) m₁- or m₃-space. (A space is an m₁-space if each of its points has a closure-preserving local base.) A compact uncountable space K is given with an m₁-space, which answers questions raised by Dow, Ramírez Martínez and Tkachuk (2010) and Tkachuk (2011).
Benjamín Espinoza, Verónica Martínez-de-la-Vega, Jorge M. Martínez-Montejano (2009)
Colloquium Mathematicae
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A hit-and-miss topology () is defined for the hyperspaces , Cₙ(X) and Fₙ(X) of a continuum X. We study the relationship between and the Vietoris topology and we find conditions on X for which these topologies are equivalent.
Jia Chao (1974)
Studia Mathematica
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Tosiya Miyasita, Takashi Suzuki (2004)
Banach Center Publications
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The non-local Gel’fand problem, with Dirichlet boundary condition, is studied on an n-dimensional bounded domain Ω. If it is star-shaped, then we have an upper bound of λ for the existence of the solution. We also have infinitely many bendings in λ of the connected component of the solution set in λ,v if Ω is a ball and 3 ≤ n ≤ 9.
Dachun Yang, Sibei Yang
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Let Φ be a concave function on (0,∞) of strictly critical lower type index and (the class of local weights introduced by V. S. Rychkov). We introduce the weighted local Orlicz-Hardy space via the local grand maximal function. Let for all t ∈ (0,∞). We also introduce the BMO-type space and establish the duality between and . Characterizations of , including the atomic characterization, the local vertical and the local nontangential maximal function characterizations, are...
F. Azarpanah, M. Paimann, A. R. Salehi (2015)
Commentationes Mathematicae Universitatis Carolinae
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In this article we define the -topology on some rings of quotients of . Using this, we equip the classical ring of quotients of with the -topology and we show that with the -topology is in fact a subspace of with the -topology. Characterization of the components of rings of quotients of is given and using this, it turns out that with the -topology is connected if and only if is a pseudocompact almost -space, if and only if with -topology is connected. We also...
Michael Bildhauer, Martin Fuchs, Xiao Zhong (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Starting from Giaquinta’s counterexample [12] we introduce the class of splitting functionals being of -growth with exponents and show for the scalar case that locally bounded local minimizers are of class . Note that to our knowledge the only -results without imposing a relation between and concern the case of two independent variables as it is outlined in Marcellini’s paper [15], Theorem A, and later on in the work of Fusco and Sbordone [10], Theorem 4.2.
Dihua Jiang, Chufeng Nien, Shaun Stevens (2015)
Journal of the European Mathematical Society
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The Local Converse Problem is to determine how the family of the local gamma factors characterizes the isomorphism class of an irreducible admissible generic representation of , with a non-archimedean local field, where runs through all irreducible supercuspidal representations of and runs through positive integers. The Jacquet conjecture asserts that it is enough to take . Based on arguments in the work of Henniart and of Chen giving preliminary steps towards the Jacquet...
Nicolas Lerner (2006)
Bulletin de la Société Mathématique de France
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For a principal type pseudodifferential operator, we prove that condition implies local solvability with a loss of 3/2 derivatives. We use many elements of Dencker’s paper on the proof of the Nirenberg-Treves conjecture and we provide some improvements of the key energy estimates which allows us to cut the loss of derivatives from for any (Dencker’s most recent result) to 3/2 (the present paper). It is already known that condition doesimply local solvability with a loss of 1...
A. Błaszczyk (1974)
Colloquium Mathematicae
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Wilhelmina Smajdor (1970)
Annales Polonici Mathematici
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A. Pełczyński, H. Rosenthal (1975)
Studia Mathematica
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Richard Haydon (1972)
Publications du Département de mathématiques (Lyon)
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Zdeněk Frolík (1962)
Czechoslovak Mathematical Journal
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Michitaka MIYAUCHI, Takuya YAMAUCHI (2014)
Journal de Théorie des Nombres de Bordeaux
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In this paper, we give a concrete method to compute -stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over -adic fields. An application to the global setting is also discussed. In particular, we give an explicit -stabilized form of a Saito-Kurokawa lift.
Katsuro Sakai, Masato Yaguchi (2006)
Colloquium Mathematicae
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Let , and be the spaces of all non-empty closed convex sets in a normed linear space X admitting the Hausdorff metric topology, the Attouch-Wets topology and the Wijsman topology, respectively. We show that every component of and the space are AR. In case X is separable, is locally path-connected.