On the lattice of convexly compatible topologies on a partially ordered set

Judita Lihová

Archivum Mathematicum (1979)

  • Volume: 015, Issue: 4, page 217-231
  • ISSN: 0044-8753

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Lihová, Judita. "On the lattice of convexly compatible topologies on a partially ordered set." Archivum Mathematicum 015.4 (1979): 217-231. <http://eudml.org/doc/18012>.

@article{Lihová1979,
author = {Lihová, Judita},
journal = {Archivum Mathematicum},
keywords = {lattice of topologies; compatible topologies},
language = {eng},
number = {4},
pages = {217-231},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the lattice of convexly compatible topologies on a partially ordered set},
url = {http://eudml.org/doc/18012},
volume = {015},
year = {1979},
}

TY - JOUR
AU - Lihová, Judita
TI - On the lattice of convexly compatible topologies on a partially ordered set
JO - Archivum Mathematicum
PY - 1979
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 015
IS - 4
SP - 217
EP - 231
LA - eng
KW - lattice of topologies; compatible topologies
UR - http://eudml.org/doc/18012
ER -

References

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  1. E. Čech, Topological papers, Praha 1968, 436-472. (1968) 
  2. H. Gaifman, The lattice of all topologies on a denumerable set, (abstract), Amer. Math. Soc. Notices, 8, 1961, 356. (1961) 
  3. J. Lihová, On topologies convexly compatible with the ordering, to appear. MR0562107
  4. M. Sekanina, Sistemy topologij na dannom množestve, Čech. mat. žurnal, 15, 1965, 9-29. (1965) MR0184193
  5. A. K. Steiner, The lattice of topologies: structure and complementation, Trans. Amer. Math. Soc., 122, 1966, 379-398. (1966) Zbl0139.15905MR0190893
  6. B. Šmarda, The lattice of topologies of topological l-groups, Czech. Math. J., 26 (101) 1976, 128-136. (1976) MR0401587

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