Categories of ordered sets

Milan Sekanina

Archivum Mathematicum (1968)

  • Volume: 004, Issue: 1, page 25-59
  • ISSN: 0044-8753

How to cite

top

Sekanina, Milan. "Categories of ordered sets." Archivum Mathematicum 004.1 (1968): 25-59. <http://eudml.org/doc/15830>.

@article{Sekanina1968,
author = {Sekanina, Milan},
journal = {Archivum Mathematicum},
keywords = {general algebraic structures},
language = {eng},
number = {1},
pages = {25-59},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Categories of ordered sets},
url = {http://eudml.org/doc/15830},
volume = {004},
year = {1968},
}

TY - JOUR
AU - Sekanina, Milan
TI - Categories of ordered sets
JO - Archivum Mathematicum
PY - 1968
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 004
IS - 1
SP - 25
EP - 59
LA - eng
KW - general algebraic structures
UR - http://eudml.org/doc/15830
ER -

References

top
  1. P. C. Baayen, Universal morphisms, Amstrodam, 1964, (1964) Zbl0139.40001MR0172826
  2. G. Birkhoff, Lattice theory, New York 1948. (1948) Zbl0033.10103MR0029876
  3. O. Borůvka, Grundlagen der Gruppoid-und Gruppentheorie, Berlin, 1960. (1960) MR0117267
  4. N. Bourbaki, Théorie des ensembles, ch. IV, Structures, Paris, 1957. (1957) Zbl0100.27803
  5. M. S. Calenko, Pravilnyje objediněnija i specialnyje podprjamyje sumy v katěgorijach, Mat. Sbornik (N. S), 57 (1962), 75-94. (1962) MR0137673
  6. K. Čulík, Über die Homomorphismen der teilweise geordneten Mengen, Czech. mat. journal, v. 9 (84) 1959, 496-518. (1959) MR0120170
  7. K. Drbohlav, Concerning representations of small categories, Com. mat. Univ. Car., 4 (1963), 147-151. (1963) Zbl0142.25403MR0166243
  8. Ch. Ehresman, Categories structurées, Ann. Sci. Ecole Normal Sup. 80 (1963), 349-426. (1963) MR0197529
  9. P. Freyd, Abelian categories, New York, 1964. (1964) Zbl0121.02103
  10. S. Ginsburg J. R. Isbell, The category of cofinal types I, Transactions A. M. S., 116 (1965), 386-393. (1965) MR0201315
  11. A. Pultr Z. Hedrlín, O predstavlenii malych katěgorij, Doklady A. N. SSSR, t. 160 (1965), 284-286. (1965) MR0172908
  12. M. Hušek, S-categories, Com. Math. Univ. Car., 5 (1964), 37-46, (1964) MR0174027
  13. J. R. Isbell, The category of cofinal types II, Transactions, A. M. S., 116 (1965), 394-416. (1965) Zbl0212.32701MR0201316
  14. J. F. Kennison, Reflective functors in general topology and elsewhere, Transactions A. M. S., 118 (1965), 303-315. (1965) Zbl0134.40705MR0174611
  15. H. J. Kowalsky, Kategorien topologischer Räume, Math. Zeitschrift, 77 (1961), 249-272. (1961) Zbl0099.17202MR0151501
  16. A. G. Kuroš A. Ch. Livšic E. G. Šulgeifer, Osnovy těorii katěgorij, Uspěchi mat. nauk 15 (1960), 3-58. (1960) MR0118755
  17. S. MacLane, Categorical algebra, Bull. A. M. S., 71 (1965), 40-106. (1965) Zbl0161.01601MR0171826
  18. B. Mitchel, Theory of categories, New York, London 1965. (1965) MR0202787
  19. M. Novotný, L. Skula, Über gewisse Topologien auf geordneten Mengen, Fundamenta mathematicae, LVI (1965), 313-324. (1965) MR0175079
  20. A. Pultr, On selecting of morphisms among all mappings between underlying sets of objects in concrete categories and realisations of these, Com. Math. Univ. Car. 8 (1967), 53-83. (1967) MR0210764
  21. M. Sekanina, On ordering of the system of all subsets of a given set, Zeitschrift f. math. Logik und Grundlagen der Mathematik, 9 (1964), 283-301. (1964) Zbl0145.01201MR0170827
  22. M. Sekanina, On the power of ordered sets, Archivum math., T. 2 (1965), 75-82. (1965) Zbl0148.25601MR0207600
  23. V. Trnková, K těorii katěgorij, Com. math. univ. Car., 3 (1962), 9-35. (1962) 
  24. V. Trnková, Universal categories, Com. math. univ. Car. 7 (1966) 143-206. (1966) MR0202808
  25. V. V. Vagner, Predstavlenije uporjadočennych polugrupp, Matěmatičeskij sbornik 38 (1956), 203-240. (1956) MR0076777

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.