Results 91 to 100 of about 4,879,805 (235)

On linear functional equations in locally convex linear topological spaces [PDF]

, 1953
Mieczysław Altman
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THE NUMBER OF COMPACT SUBSETS OF A TOPOLOGICAL SPACE

, 1976
Results are obtained which give an upper bound on the number of compact subsets of a topological space in terms of other cardinal invariants. The countable version of the main theorem states that an Xx- compact space with a point-countable separating ...
D. Burke, R. Hodel
semanticscholar   +1 more source

On the Cardinality of a Topological Space [PDF]

Proceedings of the American Mathematical Society, 1977
In recent papers, B. Šapirovskiĭ, R. Pol, and R. E. Hodel have used a transfinite construction technique of Šapirovskiĭ to provide a unified treatment of fundamental inequalities in the theory of cardinal functions. Šapirovskiĭ’s technique is used in this paper to establish an inequality whose countable version states that the continuum is an upper ...
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Metrization of Topological Spaces [PDF]

, 1951
R. H. Bing
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The Finite Coarse Shape Paths

Mathematics
In this paper, we introduce the notions of finite coarse shape path and finite coarse shape path connectedness of a topological space. We prove that the solenoid Σ(pn), which is known to be coarse shape path connected but not shape path connected, is not
Ivan Jelić, Ivančica Mirošević
doaj   +1 more source

Separation axioms in topological preordered spaces and the existence of continuous order-preserving functions

Applied General Topology, 2000
We characterize the existence of a real continuous order-preserving function on a topological preordered space, under the hypotheses that the topological space is normal and the preorder satisfies a strong continuity assumption, called IC-continuity ...
Gianni Bosi, R. Isler
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A note on separation axioms and their application in the theory of a locally connected topological space [PDF]

, 1943
J. W. T. Youngs
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Primal topological spaces

Boletim da Sociedade Paranaense de Matemática
The purpose of this paper is to introduce a new structure called primal. Primal is the dual structure of grill. Like ideal, the dual of filter, this new structure also generates a new topology named primal topology. We introduce a new operator using primal, which satisfies Kuratowski closure axioms.
Santanu Acharjee, Murad Ozkoc, Faical Yacine Issaka   +2 more
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Characterization of topological spaces by some continuous functions. [PDF]

, 1954
Tetsuo KANDO
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Products of topological spaces

General Topology and its Applications, 1978
AbstractThe main purpose of this paper is to unify a number of theorems in topology whose conclusions state that a product of topological spaces has a compactness-like property.Three such theorems are (1) the Tychonoff theorem: Every product of compact spaces is compact, (2) the theorem of C.T. Scarborough and A.H.
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