Representation of inf-semilattices in the parts of a topological space. (Spanish: Representación de inf-semirretículos en las partes de un espacio topológico).
| dc.contributor.author | Rodríguez Salinas, Baltasar | |
| dc.contributor.author | Bombal Gordón, Fernando | |
| dc.date.accessioned | 2023-06-21T02:03:39Z | |
| dc.date.available | 2023-06-21T02:03:39Z | |
| dc.date.issued | 1975 | |
| dc.description.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 | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17875 | |
| dc.identifier.issn | 0010-0757 | |
| dc.identifier.officialurl | http://www.collectanea.ub.edu/index.php/Collectanea/article/view/3436/4115 | |
| dc.identifier.relatedurl | http://www.collectanea.ub.edu/index.php/Collectanea/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64741 | |
| dc.issue.number | 1 | |
| dc.journal.title | Collectanea mathematica | |
| dc.language.iso | spa | |
| dc.page.final | 95 | |
| dc.page.initial | 67 | |
| dc.publisher | Springer | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 510.22 | |
| dc.subject.keyword | Ordered sets | |
| dc.subject.keyword | lattices. | |
| dc.subject.ucm | Teoría de conjuntos | |
| dc.subject.unesco | 1201.02 Teoría Axiomática de Conjuntos | |
| dc.title | Representation of inf-semilattices in the parts of a topological space. (Spanish: Representación de inf-semirretículos en las partes de un espacio topológico). | |
| dc.type | journal article | |
| dc.volume.number | 26 | |
| dcterms.references | 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). | |
| dspace.entity.type | Publication |
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