Correction to: “Co-absolutes of remainders of Stone-Čech compactifications”
نویسندگان
چکیده
منابع مشابه
About remainders in compactifications of paratopological groups
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We prove that a remainder $Y$ of a non-locally compact rectifiable space $X$ is locally a $p$-space if and only if either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact, which improves two results by Arhangel'skii. We also show that if a non-locally compact rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal, then...
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We prove that every separable and metrizable space admits a metrizable compactification with a remainder that is both path connected and locally path connected. This result answers a question of P. Simon. Connectedness and compactness are two fundamental topological properties. A natural question is whether a given space admits a connected (Hausdorff) compactification. This question has been st...
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We investigate cut points of subcontinua of βR \ R. We find, under CH, the topologically smallest type of subset of R that can support such a cut point. On the other hand we answer Question 66 of Hart and van Mill’s Open problems on βω [Open Problems in Topology (J. van Mill and G. M. Reed, eds.), North-Holland, Amsterdam, 1990, pp. 97–125] by showing that it is consistent that all cut points a...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1971
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1971.39.827a