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Convergence Space Extensions

Annals of the New York Academy of Sciences, 1993
ABSTRACT. Some, but certainly not all, convergence space extensions can be obtained by completing an appropriate Caunchy structure. A more general completion theory is developed, in which “Cauchy structures” are replaced by “stack systems,” and it is shown that every convergence space extension via a dense embedding can be described as a completion ...
D. C. KENT, E. E. REED
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Convergence in Sequence Spaces

Proceedings of the Edinburgh Mathematical Society, 1958
In a perfect sequence space α, on which a norm is defined, we can consider three types of convergence, namely projective convergence, strong projective convergence and distance convergence. In the space σ∞, when distance is defined in the usual way, the last two types of convergence coincide and are distinct from projective convergence ((2), p.
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Completion of Semiuniform Convergence Spaces

Applied Categorical Structures, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES

2012
We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces.
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Uniform convergence spaces

2002
Uniform continuity, completeness and equicontinuity are the most important features of uniformities and uniform spaces. Uniform convergence spaces, the convergence generalization of uniform spaces, are not as strong as their topological counterparts. In particular uniform continuity is not a very strong property.
R. Beattie, H.-P. Butzmann
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Convergence vector spaces

2002
The notion of convergence vector space arose in 1.2.8. Since these spaces are the main topic of this book, we examine their properties in some detail in this chapter.
R. Beattie, H.-P. Butzmann
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On Schwartz Convergence Vector Spaces

Mathematische Nachrichten, 1984
The theory of Schwartz locally convex spaces and the theory of Schwartz convex bornological spaces are in a sense dual theories. In this paper we have introduced the concept of Schwartz convergence vector spaces, which unifies these two theories. Most of the theory concerns the category of \(L_ e\)-embedded spaces, i.e. spaces E for which the canonical
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ECONOMIC CONVERGENCE VS. SOCIO-ECONOMIC CONVERGENCE IN SPACE [PDF]

open access: possible, 2006
This paper aims to present a new analysis framework for assessing disparities among regions (or countries). It combines both economic and social variables, where the economic attributes refer in particular to marked differences in consumption variables. This analysis is also appealing for spatial convergence analyses over time.
CUFFARO, Miranda   +2 more
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The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

Cosmology with the Laser Interferometer Space Antenna

Living Reviews in Relativity, 2023
Germano Nardini
exaly  

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