Critical remarks on some basic notions in Boolean lattices. II

Otton Martin Nikodým

Rendiconti del Seminario Matematico della Università di Padova (1957)

  • Volume: 27, page 193-217
  • ISSN: 0041-8994

How to cite

top

Nikodým, Otton Martin. "Critical remarks on some basic notions in Boolean lattices. II." Rendiconti del Seminario Matematico della Università di Padova 27 (1957): 193-217. <http://eudml.org/doc/106968>.

@article{Nikodým1957,
author = {Nikodým, Otton Martin},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {rings, modules, fields},
language = {eng},
pages = {193-217},
publisher = {Seminario Matematico of the University of Padua},
title = {Critical remarks on some basic notions in Boolean lattices. II},
url = {http://eudml.org/doc/106968},
volume = {27},
year = {1957},
}

TY - JOUR
AU - Nikodým, Otton Martin
TI - Critical remarks on some basic notions in Boolean lattices. II
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1957
PB - Seminario Matematico of the University of Padua
VL - 27
SP - 193
EP - 217
LA - eng
KW - rings, modules, fields
UR - http://eudml.org/doc/106968
ER -

References

top
  1. [1] Alfred North Whitehead and Bertrand Russel: Principia Mathematica. Vol. 1. Cambridge (Engl.). University Press, 1910. Zbl0101.24902JFM41.0083.02
  2. [2] H.M. Mac Neille: Partially ordered sets. Trans. Amer. Math. Soc., 42 (1937), p. 416-460. MR1501929JFM63.0833.04
  3. [3] C. Carathéodory: Entwurf für eine Algebraisierung des Integralbegriffs. Münch. Sitzber. (1938). p. 27-68. JFM64.0189.02
  4. [4] Garret Birkhoff: Lattice theory, revised edition. (1948). New York City. (American Mathemat. Soc. Colloquium Publications L Vol. 25, XIII+283 pp. Zbl0033.10103MR29876
  5. [5] M.H. Stone: Linear transformations in Hilbert space and their applications to analysis. New York (1932), (Amer. Math. Soc. Colloquium Publications, Vol. 15). Zbl0005.40003MR1451877
  6. [6] O. Nikodým: On Boolean fields of subspaces in an arbitrary Hilbert space. Ann. Soc. Polon. Math., 17 (1938), pp. 138-165. Zbl65.0496.02JFM65.0496.02
  7. [7] O. Nikodým: C. R. Paris. 224 (1947, pp. 522-524, pp. 628-630. pp. 778-780. 
  8. [8] O. N: Un nouvel appareil mathématique pour la théoric des quanta. Annales le l'InstitutHenri Poincaré. Tome II, pp. 49-112 (lectures 1947). Zbl0037.27807MR34965
  9. [9] M.H. Stone: The theory of representation for Boolean algebras -Trans. Amer. Math. Soc., 40 (1936), pp. 37-III. Zbl0014.34002MR1501865
  10. [10] H.L. Van der Waerden: Moderne Algebra.2-d edition. F. Ungar Publish. Co. (New York). (1937, leipzig edit.). Zbl0039.00902
  11. [11] René De Possel: Sur la dérivation abstraite des fonctions d'ensemble. Journ. des Math., 101 (1936), pp. 391-409. Zbl0015.20505
  12. [12] N. Bourbaki: Topologie générale. Chap. I. Structure topologique. Actuel. Sci. et Ind., n. 858. Hermann. Paris (1940). MR4747JFM66.1357.01
  13. [13] F. Wecken: Abstrakte Integrale und fast periodische Funktionen. Math. Zeitschr., 45 (1939). pp. 377-404. Zbl65.0266.02MR69JFM65.0266.02
  14. [14] O. Nikodým: Sur la mesure vectorielle parfaitement additive dans un corps obstrait de Boole. Mém. de l'Acad. Roy. de Belgique ( Classe des Sc.). t. 17 (1938). Zbl0019.29801JFM64.1014.04
  15. [15] H. Lebesgue: Ann. Ec. Norm. Sup. (3). 27 (1910), p. 380. 
  16. [16] Ch. De La Vallée Poussin: Intégrales de Lebesgue. Fonctions d'ensemble. Classes de Baire. II éd. Paris, Gauthier - Villars Coll. Borel). JFM46.1519.01
  17. [17] M. Fréchet: Des familles et fonctions additives d'ensemble abstraits. I. Fund. Math., 4 (1923). pp. 329-365: II. Fund. Math., 5 (1924). pp. 207-251. Zbl49.0196.01JFM50.0183.03
  18. [18] H. Hahn: Theorie der reellen Funktionen. Leipzig & Berlin (1918). Zbl48.0261.09JFM48.0261.09
  19. [19] H. Hahn & A. Rosenthal.Set functions. Albuquerque (New Mexico), 1948. Zbl0033.05301MR24504
  20. [20] A. Komolgoroff.Grundbegriffe der Wahrscheinlichkeitsrechnung. Ergebnisse d. Mathem., Vol. II (1933). JFM59.1152.03
  21. [21] C. Carathéodory: Vorlesungen uber reelle Funktionen. leipzig & Berlin (1918). Zbl46.0376.12JFM46.0376.12
  22. [22] S. Saks: Theory of the integral. Warszawa (1937). JFM63.0183.05
  23. [23] A. Tarski: Zur Grundlegung der Boole'schen Algebra. I. Fund. Math., 24 (1935), pp. 177-198. JFM61.0054.02
  24. [24] P. Halmos: Measure Theory. D. Van Nostrand Comp. Inc.Toronto- New York-London, 1950, XI + 304 pp. Zbl0040.16802MR33869
  25. [25] A. Tarski: Une contribution à la théorie de la mesure. Fund. Math., 15 (1930). pp. 42-36. Zbl56.0089.05JFM56.0089.05
  26. [26] Leopoldo Nachbin: Une proprieté caractérisitque des algébres Boole'iennes. Portugaliae Mathemetica. Vol. 6 (1947), pp. 115-118. Zbl0034.16603MR23230
  27. [27] Shizuo Kakutani: Concrete reprentation of abstract L -spaces and the mean ergodie theorem. Ann. of Mathem.42 (1941), pp. 323-537. Zbl0027.11102MR4095
  28. [28] S. Bochner & It. S. Phillips: Additive set functions and vector lattices. Ann. of. Math.42 (1941). pp. 316-324. Zbl0026.00104MR4079
  29. [29] O. Nikodým: Sur les fonctionnelles linéaires. C. R. Paris, 229 (1949), pp. 16-18, pp. 169-171, pp. 288-289, pp. 863-865. Zbl0036.07602
  30. [30] O. Nikodým: Sur les êtres fonctionoides. C. R. Paris.226 (1948), p. 375, pp. 458-460, pp. 541-543. Zbl0029.22003
  31. [31] O. Nikodým: Tribus de Boole et fonctions mesurables. Tribu spectrale d'une fonction. C. R. Paris.228 (1949), pp. 37-38. Zbl0041.17901MR27833
  32. [32] O. Nikooým: Tribus de Boole et functions mesurables. Transformations equimesurables. C. R. Paris.228 (1949), pp. 100-151. Zbl0041.18001MR27834

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.