Spaces of urelements, II

Norbert Brunner

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 305-315
  • ISSN: 0041-8994

How to cite

top

Brunner, Norbert. "Spaces of urelements, II." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 305-315. <http://eudml.org/doc/108067>.

@article{Brunner1987,
author = {Brunner, Norbert},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Axiom of choice; Mostowski model; urelements; Dedekind-finite Lindelöf -spaces; hereditarily locally Lindelöf},
language = {eng},
pages = {305-315},
publisher = {Seminario Matematico of the University of Padua},
title = {Spaces of urelements, II},
url = {http://eudml.org/doc/108067},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Brunner, Norbert
TI - Spaces of urelements, II
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 305
EP - 315
LA - eng
KW - Axiom of choice; Mostowski model; urelements; Dedekind-finite Lindelöf -spaces; hereditarily locally Lindelöf
UR - http://eudml.org/doc/108067
ER -

References

top
  1. [1] C.E. Aull, Classification of spaces, Bull. Acad. Polon. Sc., 15 (1967), pp. 773-778. Zbl0171.43403MR225278
  2. [2] P. Bankston, Total negation of a topological property, Illinois J. M., 23 (1979), pp. 241-252. Zbl0405.54003MR528560
  3. [3] F. Bernstein: Theorie der trigonometrischen Reihe, Sitzingsber. Leipzig, 60, (1908), pp. 325-338. Zbl39.0474.02JFM39.0474.02
  4. [4] A. Blass, A model without ultrafilters, Bull. Acad. Polon. Sc., 25 (1977), pp. 329-331. Zbl0365.02054MR476510
  5. [5] N. Brunner, σ-kompakte Raüme, Manuscripta Math., 38 (1982), pp. 325-379. Zbl0504.54004
  6. [6] N. Brunner, Lindelöf-Raüme und AC, Anz. Akad. Wiss. Wien, 119 (1982), pp. 161-165. Zbl0529.03030MR728812
  7. [7] N. Brunner, Dedekind-Endlichkeit und Wohlordenbarkeit, Monatshefte Math., 94 (1982), pp. 9-31. Zbl0481.03030MR670012
  8. [8] N. Brunner, Spaces of Urelements, Rend. Sem. Mat. Univ. Padova, 74 (1985), pp. 7-13. Zbl0601.54023MR818710
  9. [9] J.R. Buddenhagen, Subsets of ω, Amer. Math. Monthly, 78 (1971), pp. 536-537. 
  10. [10] J.G. Ceder, Resolvable spaces, Fund. Math., 55 (1964), pp. 87-93. Zbl0139.40401MR163279
  11. [11] W.W. Comfort, A Stone-Čech theorem without AC, Fund. Math., 63 (1968), pp. 97-110. Zbl0185.26401MR236880
  12. [12] E.K. Van Douwen, Horrors of topology, Proc. Amer. Math. Soc., 95 (1985), pp. 101-105. Zbl0574.03039MR796455
  13. [13] A.G. El'kin, Maximal connected T2-spaces, Mat. Zametki, 26 (1979), pp. 939-948. Zbl0435.54018MR567231
  14. [14] R. Engelking, General topology, Polish Sc. Publ., Warsaw (1977). Zbl0373.54002MR500780
  15. [15] U. Felgner, Models of ZF, Springer Lecture Notes223 (1971). Zbl0269.02029MR351810
  16. [16] M. Gitik, All uncountable cardinals can be singular, Israel J. Math., 35 (1980), pp. 61-88. Zbl0439.03036MR576462
  17. [17] H. Herrlich - V. KANNAN - H. RAJAGOPALAN, Compactness, Proc. Amer. Math. Soc., 77 (1979), pp. 421-423. Zbl0417.54004MR545607
  18. [18] E. Hewitt, A problem in set theoretic topology, Duke Math. J., 10 (1943), pp. 309-333. Zbl0060.39407MR8692
  19. [19] T. Jech, The axiom of choice, North Holland Studies in Logic, 75 (1973). Zbl0259.02051MR396271
  20. [20] M. Katetov, Disjoint dense subsets, Math. Sbornik, 21 (1947), pp. 3-12. MR21679
  21. [21] W.F. Lindgren - P. Fletcher, Problems concerning countably compact spaces, Rocky Mt. J. Math., 5 (1975), pp. 95-106. Zbl0296.54018MR423298
  22. [22] N. Lusin - W. Sierpinski, Une décomposition, Compt. Rend. Acad. Paris, 165 (1917), pp. 422-424. Zbl46.0294.01JFM46.0294.01
  23. [23] P.L. Sharma, Lindelöf property in MI spaces, Illinois J. Math., 25 (1981), 644-648. Zbl0514.54018MR630841
  24. [24] E. Specker, Axiomatik der Mengenlehre, Z. Math. Logik und Grundl. Math., 3 (1957), pp. 173-210. Zbl0079.07605MR99297
  25. [25] G.T. Whyburn, Connected sets, Trans. Amer. Math. Soc., 32 (1930), pp. 926-943. Zbl56.1138.03MR1501572JFM56.1138.03

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.