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The lattice of topologies of topological l-groups. (English) Zbl 0333.54004


MSC:

54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
22A05 Structure of general topological groups
06F25 Ordered rings, algebras, modules
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
06F15 Ordered groups
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References:

[1] M. Lamper: Complements in the lattice of all topologies of top. groups. Arch. Math. (Brno), T. 4 (1974), 221-230.
[2] I. Nachbin: Topology and order. Van Nostrand 1965. · Zbl 0131.37903
[3] [31 B. Šmarda: Topologies in \(1\)-groups. Arch. Math. (Brno), T 3 (1967), 69-81. · Zbl 0224.06013
[4] B. Šmarda: Some types of \(tl\)-groups. Publ. Fac. Sci. Univ. J. E. Purkyně (Brno), 507 (1969), 341-352.
[5] B. Šmarda: Connectivity in \(tl\)-groups. to appear. · Zbl 0224.06013 · doi:10.1090/S0002-9939-1954-0063016-5
[6] L. E. Ward: Partially ordered topological spaces. Proc. Amer. Math. Soc. 5 (1954), 144- 161. · Zbl 0055.16101 · doi:10.2307/2032122
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