On the representation of orthocomplemented posets

František Katrnoška

Commentationes Mathematicae Universitatis Carolinae (1982)

  • Volume: 023, Issue: 3, page 489-498
  • ISSN: 0010-2628

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Katrnoška, František. "On the representation of orthocomplemented posets." Commentationes Mathematicae Universitatis Carolinae 023.3 (1982): 489-498. <http://eudml.org/doc/17197>.

@article{Katrnoška1982,
author = {Katrnoška, František},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {orthocomplemented poset; zero-dimensional Tikhonov space; Boolean orthomodular posets; M-bases; completely regular T2 space; ultrafilters},
language = {eng},
number = {3},
pages = {489-498},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the representation of orthocomplemented posets},
url = {http://eudml.org/doc/17197},
volume = {023},
year = {1982},
}

TY - JOUR
AU - Katrnoška, František
TI - On the representation of orthocomplemented posets
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1982
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 023
IS - 3
SP - 489
EP - 498
LA - eng
KW - orthocomplemented poset; zero-dimensional Tikhonov space; Boolean orthomodular posets; M-bases; completely regular T2 space; ultrafilters
UR - http://eudml.org/doc/17197
ER -

References

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  1. R. ENGELKING, Topologia ogólna, Warszawa 19764. Zbl0373.54001
  2. O. FRINK, Ideals in partially ordered sets, Amer. Math. Monthly 61 (1954), 225-234. (1954) Zbl0055.25901MR0061575
  3. H. GRAVES S. A. SELESNICK, An extension of the Stone representation for orthomodular lattices, Colloq. Math. 27 (1973), 21-30. (1973) MR0325478
  4. J. KLUKOWSKI, On the representation of Boolean orthomodular partially ordered sets, Demonstratio Mathematics 8 (1975), 405-423. (1975) Zbl0359.06017MR0384623
  5. A. R. MARLOW, Quantum theory and Hilbert Space, Journal of Math. Phys. 19 (1978), 1-15. (1978) Zbl0416.46057MR0502503
  6. M. H. STONE, The theory of representation for Boolean algebras, TAMS 40 (1936), 37-111. (1936) MR1501865
  7. N. ZIERLER M. SCHLESINGER, Boolean Embeddings of orthomodular sets and Quantum logics, Duke Math. Journal 32 (1965), 251. (1965) MR0175520

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