References
Brauer, G.: Evaluation of product sequences by matrix methods. Amer. Math. Monthly63, 323–326 (1956).
Čech, E.: On bicompact spaces. Ann. of Math.38, 823–844 (1937).
Gillman, L., andM. Henriksen: Concerning rings of continuous functions. Trans. Amer. Math. Soc.77, 340–362 (1954).
Gillman, L., M. Henriksen andM. Jerison: On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions. Proc. Amer. Math. Soc.5, 445–455 (1954).
Goffman, C., andG. Petersen: Submethods of regular matrix summability methods. Canad. J. Math.8, 40–46 (1956).
Goffman, C., andG. Petersen: Consistent limitation methods. Proc. Amer. Math. Soc.7, 367–369 (1956).
Henriksen, M.: Some remarks on a paper ofAronszajn andPanitchpakdi. Pacific J. Math.7, 1619 to 1621 (1957).
Katetov, M.: A theorem on the Lebesgue dimension. Časopis Mat. Fys.75, 79–87 (1950).
Kelley, J.: General topology. New York: Van Nostrand 1955.
Lorentz, G., andK. Zeller: Über Paare von Limitierungsverfahren. Math. Z.68, 422–438 (1957).
Mazur, S., andW. Orlicz On linear methods of summability. Studia Math.14, 129–160 (1954).
Novák, J.: On the cartesian product of two compact spaces. Fund. Math.40, 106–112 (1953).
Petersen, G.: Sets of consistent summation methods. J. London Math. Soc.32, 377–379 (1957).
Rudin, W.: Homogeneity problems in the theory of Čech compactifications. Duke Math. J.23, 409–420 (1956).
Stone, M. H.: Applications of the theory of Boolean rings to general topology. Trans. Amer. Math. Soc.41, 375–481 (1937).
Wallace, A.: Extensional invariance. Trans. Amer. Math. Soc.70, 97–102 (1951).
Zeller, K.: Theorie der Limitierungsverfahren. Ergebnisse der Mathematik und ihrer Grenzgebiete. Berlin: Springer 1958.
Author information
Authors and Affiliations
Additional information
This paper was written while the author was anAlfred P. Sloan Fellow.
Rights and permissions
About this article
Cite this article
Henriksen, M. Multiplicative summability methods and the Stone-Čech compacification. Math Z 71, 427–435 (1959). https://doi.org/10.1007/BF01181414
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01181414