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C- and C*-quotients in pointfree topology [Book]

Richard N. Ball, Joanne Walters-Wayland (2002)

Cardinal functions on compact F-spaces and on weakly countably complete Boolean algebras

Eric van Douwen (1981)

Fundamenta Mathematicae

Closed and open sets in topologies induced by lattice ordered vector groups

František Šik (1973)

Czechoslovak Mathematical Journal

Coherent ultrafilters and nonhomogeneity

Jan Starý (2015)

Commentationes Mathematicae Universitatis Carolinae

We introduce the notion of a coherent $P$ -ultrafilter on a complete ccc Boolean algebra, strengthening the notion of a $P$ -point on $ω$ , and show that these ultrafilters exist generically under $𝔠 = 𝔡$ . This improves the known existence result of Ketonen [On the existence of $P$ -points in the Stone-Čech compactification of integers, Fund. Math. 92 (1976), 91–94]. Similarly, the existence theorem of Canjar [On the generic existence of special ultrafilters, Proc. Amer. Math. Soc. 110 (1990), no. 1, 233–241] can...

Compact and extremally disconnected spaces.

Nayar, Bhamini M.P. (2004)

International Journal of Mathematics and Mathematical Sciences

Compact sets without converging sequences in the random real model.

Dow, A., Fremlin, D. (2007)

Acta Mathematica Universitatis Comenianae. New Series

Completeness properties of function rings in pointfree topology

Bernhard Banaschewski, Sung Sa Hong (2003)

Commentationes Mathematicae Universitatis Carolinae

This note establishes that the familiar internal characterizations of the Tychonoff spaces whose rings of continuous real-valued functions are complete, or $σ$ -complete, as lattice ordered rings already hold in the larger setting of pointfree topology. In addition, we prove the corresponding results for rings of integer-valued functions.

Continuous images of $N^{}$ which are homeomorphic to $N^{}$ .

Mawhinney, K.J., Vipera, M.C. (2005)

Mathematica Pannonica

Coronas of ultrametric spaces

Igor V. Protasov (2011)

Commentationes Mathematicae Universitatis Carolinae

We show that, under CH, the corona of a countable ultrametric space is homeomorphic to $ω^{*}$ . As a corollary, we get the same statements for the Higson’s corona of a proper ultrametric space and the space of ends of a countable locally finite group.

Displaying 1 – 12 of 12

C- and C*-quotients in pointfree topology [Book]

Cardinal functions on compact F-spaces and on weakly countably complete Boolean algebras

Closed and open sets in topologies induced by lattice ordered vector groups

Coherent ultrafilters and nonhomogeneity

Compact and extremally disconnected spaces.

Compact sets without converging sequences in the random real model.

Completeness properties of function rings in pointfree topology

Continuous images of $N^{}$ which are homeomorphic to $N^{}$ .

Coronas of ultrametric spaces

Countably compact spaces all countable subsets of which are scattered

Countably $I$ -compact spaces.

Countably $S$ -closed spaces

Currently displaying 1 – 12 of 12