Results 131 to 140 of about 13,897 (167)

Topological spaces of the web

Special interest tracks and posters of the 14th international conference on World Wide Web - WWW '05, 2005
We study the representation of space over the Web. Web’sspatiality is described by (hyper)links, and thus the webspace is given by a set of pages and links between them. Thecomplexity of this structure derives not only from the quan-tity, but also from the extreme dynamics that it presents.This structure is greatly influenced by its dynamics ...
Gabriel Ciobanu, Danut Rusu
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LOCALIZATION OF TOPOLOGICAL SPACES

Russian Mathematical Surveys, 1977
CONTENTSIntroduction § 1. The general concept of localization § 2. Localization of Abelian groups § 3. Localization of Abelian spaces. The main theorem § 4. The existence theorem. Special cases § 5. Fibrations § 6. Π-decompositions § 7. Proof of the main theorem and the existence theorem § 8. Localization of simply-connected spaces § 9.
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Metrization of Topological Spaces

Canadian Journal of Mathematics, 1951
A single valued function D(x, y) is a metric for a topological space provided that for points x, y, z of the space: 1. the equality holding if and only if x = y, 2. (symmetry), 3. (triangle inequality), 4.
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Ultracomplete Topological Spaces

Acta Mathematica Hungarica, 2001
If \(X\) is a set and \(\Sigma\) is a set of coverings of \(X\), then we can consider \((X,\Sigma)\) to be a generalized uniform space. This point of view originates from the work of \textit{J. W. Tukey} [Convergence and uniformity in topology, Princeton (1940)] who used \((X,\Sigma)\), where \(\Sigma\) fulfills some appropriate conditions, as another ...
Buhagiar, D., Yoshioka, I.
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On Metrizability of Topological Spaces

Canadian Journal of Mathematics, 1968
Our present work is divided into three sections. In §2 we study the metrizability of spaces with a Gδ-diagonal (see Definition 2.1). In §3 we study the metrization of topological spaces by means of collections of (not necessarily continuous) real-valued functions on a topological space.
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Topological Shift Spaces

advg, 2005
Abstract Two of the problems listed in [14, 74.17] ask to prove or disprove the following statements: A) For each differentiable planar map ƒ : IR2 → IR2 the set of all differentials defines a ...
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Topological spaces for cpos

1989
Informally we show why a domain with a reasonable collection of properties is a topological space. We then address the question: if one wishes to do programming language semantics in a category of topological spaces instead of the category of complete partial orders (cpos) which category should be used? This question is first considered with respect to
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A Topology for Spaces of Transformations

The Annals of Mathematics, 1946
This paper defines and describes a particular type of topology2 for a class C of continuous functions on one topological space A to another, B; in other words, we topologize the class of transformations of A into (possibly a proper subset of) B. The topology is constructed thus?: Let K be any compact subset of A, and W be any open set of B.
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On effective topological spaces

Journal of Symbolic Logic, 1998
AbstractStarting with D. Scott's work on the mathematical foundations of programming language semantics, interest in topology has grown up in theoretical computer science, under the slogan ‘open sets are semidecidable properties’. But whereas on effectively given Scott domains all such properties are also open, this is no longer true in general.
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ON A CLASS OF TOPOLOGICAL SPACES

Studia Scientiarum Mathematicarum Hungarica, 2001
Let a topological s ace X be said to be rarophile i .each rare set is a .nite intersection of semi-o en sets (in the sense that A is semi-o en i .A .cl(int(A))).Various characteri- zations for raro hile spaces,examples of rarophile and non-rarophile spaces,ro erties of raro hile spaces are given and some o en roblems formulated.
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