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Displaying 41 – 60 of 172

Concerning hereditarily locally connected continua

Joseph N. Simone (1978)

Colloquium Mathematicae

Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.

Jürgen Jost (1985)

Journal für die reine und angewandte Mathematik

Connected economically metrizable spaces

Taras Banakh, Myroslava Vovk, Michał Ryszard Wójcik (2011)

Fundamenta Mathematicae

A topological space is non-separably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected sequential topological space X is the image of a non-separably connected complete metric space X under a monotone quotient map. The metric $d_{X}$ of the space X is economical in the sense that for each infinite subspace A ⊂ X the cardinality of the set $d_{X} (a, b) : a, b \in A$ does not exceed the density of A, $| d_{X} (A \times A) | \leq d e n s (A)$ . The construction of the space X determines a functor : Top...

Connected Hausdorff subtopologies

Jack R. Porter (2001)

Commentationes Mathematicae Universitatis Carolinae

A non-connected, Hausdorff space with a countable network has a connected Hausdorff-subtopology iff the space is not-H-closed. This result answers two questions posed by Tkačenko, Tkachuk, Uspenskij, and Wilson [Comment. Math. Univ. Carolinae 37 (1996), 825–841]. A non-H-closed, Hausdorff space with countable $π$ -weight and no connected, Hausdorff subtopology is provided.

Connected spaces which are not strongly connected

Guido, Cosimo (1984)

Proceedings of the 12th Winter School on Abstract Analysis

Connectedness and local connectedness of topological groups and extensions

Ofelia Teresa Alas, Mihail G. Tkachenko, Vladimir Vladimirovich Tkachuk, Richard Gordon Wilson (1999)

Commentationes Mathematicae Universitatis Carolinae

It is shown that both the free topological group $F (X)$ and the free Abelian topological group $A (X)$ on a connected locally connected space $X$ are locally connected. For the Graev’s modification of the groups $F (X)$ and $A (X)$ , the corresponding result is more symmetric: the groups $F Γ (X)$ and $A Γ (X)$ are connected and locally connected if $X$ is. However, the free (Abelian) totally bounded group $F T B (X)$ (resp., $A T B (X)$ ) is not locally connected no matter how “good” a space $X$ is. The above results imply that every non-trivial continuous homomorphism...

Connectedness and strong semicontinuity

Ivan L. Reilly, Mavina K. Vamanamurthy (1984)

Časopis pro pěstování matematiky

Connectedness in fuzzy topology

K. S. Raja Sethupathy, S. Lakshmivarahan (1977)

Kybernetika

Connectedness in monotone spaces.

Ghosh, Saibal Ranjan, Dasgupta, Hiranmay (2004)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Connectedness in ordered topological spaces

T. Birsan (1976)

Matematički Vesnik

Connections between connected topological spaces on the set of positive integers

Paulina Szczuka (2013)

Open Mathematics

In this paper we introduce a connected topology T on the set ℕ of positive integers whose base consists of all arithmetic progressions connected in Golomb’s topology. It turns out that all arithmetic progressions which are connected in the topology T form a basis for Golomb’s topology. Further we examine connectedness of arithmetic progressions in the division topology T′ on ℕ which was defined by Rizza in 1993. Immediate consequences of these studies are results concerning local connectedness of...

A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.

Currently displaying 41 – 60 of 172

Previous Page 3 Next

Displaying 41 – 60 of 172

Concerning hereditarily locally connected continua

Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.

Connected economically metrizable spaces

Connected Hausdorff subtopologies

Connected spaces which are not strongly connected

Connectedness and local connectedness of topological groups and extensions

Connectedness and strong semicontinuity

Connectedness in fuzzy topology

Connectedness in monotone spaces.

Connectedness in ordered topological spaces

Connections between connected topological spaces on the set of positive integers

Connectivity properties for subspaces of function spaces determined by fixed points.

Connectivity properties in hyperspaces and product spaces

Connectivity properties of sequential Boolean algebras

Connexité locale

Countable locally connected Urysohn spaces

Courbe des trisecantes a une courbe lisse de P3 de degre d > 2g + 1.

C-separated sets and unicoherence

Cut points in abcohesive, aposyndetic, and semi-locally connected spaces.

Cutting description of trivial 1-cohomology

Currently displaying 41 – 60 of 172