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Dow, Alan; van Mill, Jan

An extremally disconnected Dowker space. (English) Zbl 0502.54043

Proc. Am. Math. Soc. 86, 669-672 (1982).
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Cited in 8 Documents

MSC:

54G05 Extremally disconnected spaces, \(F\)-spaces, etc.
54C45 \(C\)- and \(C^*\)-embedding
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)

Keywords:

extremally disconnected Dowker spaces; Stone space; Cech-Stone compactification; P-space; C*-embedding
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\textit{A. Dow} and \textit{J. van Mill}, Proc. Am. Math. Soc. 86, 669--672 (1982; Zbl 0502.54043)
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References:

[1] Bohuslav Balcar, Petr Simon, and Peter Vojtáš, Refinement properties and extensions of filters in Boolean algebras, Trans. Amer. Math. Soc. 267 (1981), no. 1, 265 – 283. · Zbl 0498.04007
[2] E. K. van Douwen (in preparation).
[3] B. A. Efimov, Extremally disconnected compact spaces and absolutes, Trans. Moscow Math. Soc. 23 (1970), 243-285. · Zbl 0255.54031
[4] K. Hardy and I. Juhász, Normality and the weak cb property, Pacific J. Math. 64 (1976), no. 1, 167 – 172. · Zbl 0333.54019
[5] K. Kunen, An extremally disconnected space, Notices Amer. Math. Soc. 24 (1977), A-263.
[6] Mary Ellen Rudin, A normal space \? for which \?\times \? is not normal, Fund. Math. 73 (1971/72), no. 2, 179 – 186. · Zbl 0224.54019
[7] R. Grant Woods, A survey of absolutes of topological spaces, Topological structures, II (Proc. Sympos. Topology and Geom., Amsterdam, 1978) Math. Centre Tracts, vol. 116, Math. Centrum, Amsterdam, 1979, pp. 323 – 362.
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