RT Journal Article
T1 Representation of inf-semilattices in the parts of a topological space. (Spanish: Representación de inf-semirretículos en las partes de un espacio topológico).
A1 Rodríguez Salinas, Baltasar
A1 Bombal Gordón, Fernando
AB The authors study a representation theory of certain lattices in terms of lattices of compact subsets of Wallman compactification of a topological space. Their work generalizes the famous Stone representation theory of Boolean algebras [M. H. Stone, Trans. Amer. Math. Soc. 41 (1937), 375–481]. It is hoped that applications of their representation theory will be forthcoming
PB Springer
SN 0010-0757
YR 1975
FD 1975
LK https://hdl.handle.net/20.500.14352/64741
UL https://hdl.handle.net/20.500.14352/64741
LA spa
NO DINCULEANU, N. - Vector Mleasures. Pergamon Press, Oxford, 1967.DUNFORD, N. y SCHWARTZ, J. T. - Linear Operators, J. Interscience Pub. Inc. Xew York, 1958.KAKUTANI, S. - Concrete representation of abstract (L)-spaces and the mean ergodic theorelll. Ann. Math. (2) 42, 523-537, (1941).KELLEY, J. L. - General Topology. D. van Xostrand Co. Inc. Princcton,1955.RODRÍGUEZ-SALINAS, B. Y BOMBAL GORDÓX, F. - The Tychonoff product theorem for compact Hausdorff spaces does not imPly the axiom of choice: A new proof. Equivalent propositions. Collect. Math. 24, 219-229 (1973).SCOTT, D. - The theorem on maximal ideals in lattices and the axiom uf choice. Bull. A. M. S. 60, 83 (1954).STONE, M. H. - A pplications of the tlteory of Boolean rings to general topology. Trans. Am. Math. Soc. 4I, 375-481 (1937).VAN DALEN, D. Y MONNA, A. F. - Sets and integration. Wolters-Noordhohh Pub. Groningen, 1972.WILLARD, S. - General Topology. Addison-Wosley Pub. Co. Reading, Massachussetts, 1970).
DS Docta Complutense
RD 15 may 2024