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<dc:title>∗-half completeness in quasi-uniform spaces</dc:title>
<dc:creator>Andrikopoulos, Athanasios</dc:creator>
<dc:subject>Quasi-uniform</dc:subject>
<dc:subject>∗-half completion</dc:subject>
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<dc:description>[EN] Romaguera and Sánchez-Granero (2003) have introduced the notion of T1∗-half completion and used it to see when a quasi-uniform space has a ∗-compactification. In this paper, for any quasi-uniform space, we construct a ∗-half completion, called standard ∗-half completion. The constructed ∗-half completion coincides with the usual uniform completion in the uniform spaces and is the unique (up to quasi-isomorphism) T1 ∗-half completion of a symmetrizable quasi-uniform space. Moreover, it constitutes a ∗-compactification for ∗-Cauchy bounded quasi-uniform spaces. Finally, we give an example which shows that the standard ∗-half completion differs from the bicompletion construction.</dc:description>
<dc:description>Andrikopoulos, A. (2009). ∗-half completeness in quasi-uniform spaces. Applied General Topology. 10(1):29-37. doi:10.4995/agt.2009.1785.</dc:description>
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<dc:description>37</dc:description>
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<dc:description>Romaguera, S., & Sánchez-Granero, M. (2007). *-Compactifications of quasi-uniform spaces. Studia Scientiarum Mathematicarum Hungarica, 44(3), 307-316. doi:10.1556/sscmath.2007.1022</dc:description>
<dc:date>2009-04-01</dc:date>
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<dc:subject>∗-half completion</dc:subject>
<dc:subject>∗-compactification</dc:subject>
<dc:description>[EN] Romaguera and Sánchez-Granero (2003) have introduced the notion of T1∗-half completion and used it to see when a quasi-uniform space has a ∗-compactification. In this paper, for any quasi-uniform space, we construct a ∗-half completion, called standard ∗-half completion. The constructed ∗-half completion coincides with the usual uniform completion in the uniform spaces and is the unique (up to quasi-isomorphism) T1 ∗-half completion of a symmetrizable quasi-uniform space. Moreover, it constitutes a ∗-compactification for ∗-Cauchy bounded quasi-uniform spaces. Finally, we give an example which shows that the standard ∗-half completion differs from the bicompletion construction.</dc:description>
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<dc:creator>Andrikopoulos, Athanasios</dc:creator>
<dc:subject>Quasi-uniform</dc:subject>
<dc:subject>∗-half completion</dc:subject>
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