Publication: Representation of inf-semilattices in the parts of a topological space. (Spanish: Representación de inf-semirretículos en las partes de un espacio topológico).
Loading...
Full text at PDC
Publication Date
1975
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Citations
Exportar
Abstract
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
Description
UCM subjects
Unesco subjects
Keywords
Citation
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).