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Subjects
06-XX Order, lattices, ordered algebraic structures
06Fxx Ordered structures
06F30 Topological lattices, order topologies

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Displaying 1 – 5 of 5

A completion for partially ordered abelian groups.

K. Rosenthal (1984)

Semigroup forum

A metrizable completely regular ordered space

Hans-Peter A. Künzi, Stephen W. Watson (1994)

Commentationes Mathematicae Universitatis Carolinae

We construct a completely regular ordered space $(X, 𝒯, \leq)$ such that $X$ is an $I$ -space, the topology $𝒯$ of $X$ is metrizable and the bitopological space $(X, 𝒯^{♯}, 𝒯^{♭})$ is pairwise regular, but not pairwise completely regular. (Here $𝒯^{♯}$ denotes the upper topology and $𝒯^{♭}$ the lower topology of $X$ .)

A note on topology compatible with the ordering

Jiří Rosický (1969)

Archivum Mathematicum

An order topology for finitely generated free monoids.

M. Gass (1989)

Semigroup forum

An up-spectral space need not be $A$ -spectral.

Echi, Othman, Gargouri, Riyadh (2004)

The New York Journal of Mathematics [electronic only]

Currently displaying 1 – 5 of 5