Components and local prehomogeneity.

Al Ghour, S.

Displaying similar documents to “Components and local prehomogeneity.”

The disjoint arcs property for homogeneous curves

Paweł Krupski (1995)

Fundamenta Mathematicae

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The local structure of homogeneous continua (curves) is studied. Components of open subsets of each homogeneous curve which is not a solenoid have the disjoint arcs property. If the curve is aposyndetic, then the components are nonplanar. A new characterization of solenoids is formulated: a continuum is a solenoid if and only if it is homogeneous, contains no terminal nontrivial subcontinua and small subcontinua are not ∞-ods.

Separation theorem with respect to sub-topical functions and abstract convexity.

Alimohammady, M., Shahmari, A. (2009)

The Journal of Nonlinear Sciences and its Applications

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Herz-type Besov spaces on locally compact Vilenkin groups.

Tang, Canqin, Li, Qingguo, Ma, Bolin (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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A note on noninterpretability in o-minimal structures

Ricardo Bianconi (1998)

Fundamenta Mathematicae

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We prove that if M is an o-minimal structure whose underlying order is dense then Th(M) does not interpret the theory of an infinite discretely ordered structure. We also make a conjecture concerning the class of the theory of an infinite discretely ordered o-minimal structure.

$κ$ -normed topological vector spaces.

Lyudkovskij, S.V. (2000)

Sibirskij Matematicheskij Zhurnal

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Linear isometries of finite codimensions on Banach algebras of holomorphic functions.

Hatori, Osamu, Kasuga, Kazuhiro (2009)

Banach Journal of Mathematical Analysis [electronic only]

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Relatively compact spaces and separation properties

Aleksander V. Arhangel&#039;skii, Ivan V. Yashchenko (1996)

Commentationes Mathematicae Universitatis Carolinae

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We consider the property of relative compactness of subspaces of Hausdorff spaces. Several examples of relatively compact spaces are given. We prove that the property of being a relatively compact subspace of a Hausdorff spaces is strictly stronger than being a regular space and strictly weaker than being a Tychonoff space.

Homogeneous models and stable diagrams.

Kudajbergenov, K.Zh. (2002)

Sibirskij Matematicheskij Zhurnal

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Expansions of the real line by open sets: o-minimality and open cores

Chris Miller, Patrick Speissegger (1999)

Fundamenta Mathematicae

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The open core of a structure ℜ := (ℝ,<,...) is defined to be the reduct (in the sense of definability) of ℜ generated by all of its definable open sets. If the open core of ℜ is o-minimal, then the topological closure of any definable set has finitely many connected components. We show that if every definable subset of ℝ is finite or uncountable, or if ℜ defines addition and multiplication and every definable open subset of ℝ has finitely many connected components, then the open core...

On homogeneous totally disconnected 1-dimensional spaces

Kazuhiro Kawamura, Lex Oversteegen, E. Tymchatyn (1996)

Fundamenta Mathematicae

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The Cantor set and the set of irrational numbers are examples of 0-dimensional, totally disconnected, homogeneous spaces which admit elegant characterizations and which play a crucial role in analysis and dynamical systems. In this paper we will start the study of 1-dimensional, totally disconnected, homogeneous spaces. We will provide a characterization of such spaces and use it to show that many examples of such spaces which exist in the literature in various fields are all homeomorphic....