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


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
Full Text: EuDML


[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.