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Showing 1 to 9 of 9 for “"uniform space"”.
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The scale of a quasi-uniform space
… been made in the investigation of the scale of a uniform space. In particular, Bushaw, Kent, Ramsey and Richardson published several articles concerning the scale of a uniform space. The aim of this dissertation is to begin a similar investigation into the scale of a quasi-uniform space. It starts …
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Completeness and related topics in a quasi-uniform space
"Completions and a strong completion of a quasi-uniform space are constructed and examined. It is shown that the trivial completion of a T₀ space is T₀ . Examples are given to show that a T₁ space need not have a T₁ strong completion and a T₂ space need not have a T₂ completion. The nontrivial …
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On Doitchinov's quietness for arbitrary quasi-uniform spaces
The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an interesting completion theory for this class ofquasi-uniform spaces. At the same time Doitchinov developed a similar com-pletion theory for a class of T0-balanced quasi-pseudometric spaces.In my …
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Quotient uniformities
… the notion of a quotient topology is extended to uniform spaces, and a quotient uniformity is defined for a uniform space. After the definition is validated its basic properties are investigated and its relation to the quotient topology is discussed.
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Some results on quasi-uniform spaces
<p>"An example of a quasi-uniform space which is complete but not strongly complete is constructed. We also give an example to show that a T<sub>1</sub> space does not necessarily have a T<sub>1</sub> strong completion.</p> <p>The definition of Cauchy filter is discussed. An alternate definition, …
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Quasireflections and quasifactorizations
… the Cech-Stone compactification of a Tychonoff space ([Cech 37]) or the completion of a uniform space ([Weil 38]). More recent work relating reflections to completions was published by Brummer and Giuli [Brummer Giuli 92], and in this thesis many of their ideas are extended to the more general …
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Exploring the technics of computer representation : three 'prepared' instruments for plotting, meshing and rendering
… a productive site in architecture. Instead of a "uniform space through which meaning may glide without modulation", the "substratum" of this "gap" is uneven and unpredictable, a space of "entropy" and a "locale of subterfuges and evasions." Through their passage, "things can get bent, broken or …
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Development of MRI-based Yucatan Minipig Brain Template
… register) subject scans to the same volumetric space using a brain template. However, large animal brain templates are lacking, which limits the use of MRI as an effective research tool to study group effects. The objective of this study was to create an MRI-based Yucatan minipig brain template …
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When graph meets diagonal: an approximative access to fixed point theory
… general access to topological transversality in uniform spaces.