Critical remarks on some basic notions in Boolean lattices. II
Rendiconti del Seminario Matematico della Università di Padova, Tome 27 (1957), pp. 193-217. 
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     author = {Nikod\'ym, Otton Martin},
     title = {Critical remarks on some basic notions in {Boolean} lattices. {II}},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {193--217},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {27},
     year = {1957},
     mrnumber = {97333},
     zbl = {0089.01905},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1957__27__193_0/}
}
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Nikodým, Otton Martin. Critical remarks on some basic notions in Boolean lattices. II. Rendiconti del Seminario Matematico della Università di Padova, Tome 27 (1957), pp. 193-217. http://archive.numdam.org/item/RSMUP_1957__27__193_0/

[1] Alfred North Whitehead and Bertrand Russel: Principia Mathematica. Vol. 1. Cambridge (Engl.). University Press, 1910. | JFM

[2] H.M. Mac Neille: Partially ordered sets. Trans. Amer. Math. Soc., 42 (1937), p. 416-460. | JFM | MR

[3] C. Carathéodory: Entwurf für eine Algebraisierung des Integralbegriffs. Münch. Sitzber. (1938). p. 27-68. | JFM

[4] Garret Birkhoff: Lattice theory, revised edition. (1948). New York City. (American Mathemat. Soc. Colloquium Publications L Vol. 25, XIII+283 pp. | MR | Zbl

[5] M.H. Stone: Linear transformations in Hilbert space and their applications to analysis. New York (1932), (Amer. Math. Soc. Colloquium Publications, Vol. 15). | MR | Zbl

[6] O. Nikodým: On Boolean fields of subspaces in an arbitrary Hilbert space. Ann. Soc. Polon. Math., 17 (1938), pp. 138-165. | JFM

[7] O. Nikodým: C. R. Paris. 224 (1947, pp. 522-524, pp. 628-630. pp. 778-780.

[8] O. N: Un nouvel appareil mathématique pour la théoric des quanta. Annales le l'Institut Henri Poincaré. Tome II, pp. 49-112 (lectures 1947). | Numdam | MR | Zbl

[9] M.H. Stone: The theory of representation for Boolean algebras -Trans. Amer. Math. Soc., 40 (1936), pp. 37-III. | MR | Zbl

[10] H.L. Van Der Waerden: Moderne Algebra. 2-d edition. F. Ungar Publish. Co. (New York). (1937, leipzig edit.). | Zbl

[11] René De Possel: Sur la dérivation abstraite des fonctions d'ensemble. Journ. des Math., 101 (1936), pp. 391-409. | Numdam | Zbl

[12] N. Bourbaki: Topologie générale. Chap. I. Structure topologique. Actuel. Sci. et Ind., n. 858. Hermann. Paris (1940). | JFM | MR

[13] F. Wecken: Abstrakte Integrale und fast periodische Funktionen. Math. Zeitschr., 45 (1939). pp. 377-404. | JFM | MR

[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). | JFM | Zbl

[15] H. Lebesgue: Ann. Ec. Norm. Sup. (3). 27 (1910), p. 380.

[16] Ch. De La Vallée Poussin: Intégrales de Lebesgue. Fonctions d'ensemble. Classes de Baire. II éd. Paris, Gauthier - Villars Coll. Borel). | JFM

[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. | JFM

[18] H. Hahn: Theorie der reellen Funktionen. Leipzig & Berlin (1918). | JFM

[19] H. Hahn & A. Rosenthal. Set functions. Albuquerque (New Mexico), 1948. | MR | Zbl

[20] A. Komolgoroff. Grundbegriffe der Wahrscheinlichkeitsrechnung. Ergebnisse d. Mathem., Vol. II (1933). | JFM

[21] C. Carathéodory: Vorlesungen uber reelle Funktionen. leipzig & Berlin (1918). | JFM

[22] S. Saks: Theory of the integral. Warszawa (1937). | JFM

[23] A. Tarski: Zur Grundlegung der Boole'schen Algebra. I. Fund. Math., 24 (1935), pp. 177-198. | JFM

[24] P. Halmos: Measure Theory. D. Van Nostrand Comp. Inc. Toronto- New York-London, 1950, XI + 304 pp. | MR | Zbl

[25] A. Tarski: Une contribution à la théorie de la mesure. Fund. Math., 15 (1930). pp. 42-36. | JFM

[26] Leopoldo Nachbin: Une proprieté caractérisitque des algébres Boole'iennes. Portugaliae Mathemetica. Vol. 6 (1947), pp. 115-118. | MR | Zbl

[27] Shizuo Kakutani: Concrete reprentation of abstract L -spaces and the mean ergodie theorem. Ann. of Mathem. 42 (1941), pp. 323-537. | MR | Zbl

[28] S. Bochner & It. S. Phillips: Additive set functions and vector lattices. Ann. of. Math. 42 (1941). pp. 316-324. | MR | Zbl

[29] O. Nikodým: Sur les fonctionnelles linéaires. C. R. Paris, 229 (1949), pp. 16-18, pp. 169-171, pp. 288-289, pp. 863-865. | Zbl

[30] O. Nikodým: Sur les êtres fonctionoides. C. R. Paris. 226 (1948), p. 375, pp. 458-460, pp. 541-543. | Zbl

[31] O. Nikodým: Tribus de Boole et fonctions mesurables. Tribu spectrale d'une fonction. C. R. Paris. 228 (1949), pp. 37-38. | MR | Zbl

[32] O. Nikooým: Tribus de Boole et functions mesurables. Transformations equimesurables. C. R. Paris. 228 (1949), pp. 100-151. | MR | Zbl