Lattice uniformities generated by filters

Journal of Mathematical Analysis and Applications

Volumn 209, Issue 2, 1997, Pages 507-528

  Avallone, Anna ^a   Weber, Hans ^b  

^a UNIVERSITY OF BASILICATA   (Italy)

^b UNIVERSITY OF UDINE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN ALGEBRA; FUNCTIONS; THEOREM PROVING; TOPOLOGY;

DECOMPOSITION THEOREMS; LATTICE UNIFORMITIES; TOPOLOGICAL BOOLEAN RING;

MATHEMATICAL TECHNIQUES;

EID: 0031130662     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.5291     Document Type: Article

References (12)

1. Basile A., Traynor T. Monotonely Cauchy locally solid topologies. Order. 7:1991;407-416.
2. Beran L. Orthomodular lattices. Mathematics and Its Applications. 1985;Reidel, Dordrecht.
3. Birkhoff G. Lattice Theory. 1967;Am. Math. Soc. Providence.
4. Drewnowski L. Topological rings of sets, continuous set functions, integration I, II, and III. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 20:1972;269-276.
5. Grätzer G. General Lattice Theory. Pure and Applied Mathematics Series. 1978;Academic Press, San Diego.
6. Maeda F., Maeda S. Theory of Symmetric Lattices. 1970;Springer-Verlag, Berlin/Heidelberg/New York.
7. Waelbroecks. Topological vector spaces and algebras. Lecture Notes in Mathematics. 230:1971;Springer-Verlag, Berlin/New York.
8. Weber H. Group- and vector-valueds. Measure Theory. Lecture Notes in Mathematics. 1089:1984;Springer-Verlag, Berlin/New York. p. 181-198.
9. Weber H. Uniform Lattice: A generalization of topological Riesz spaces and topological Boolean rings; Uniform Lattice II: Order continuity and exhaustivity. Ann. Mat. Pura Appl. 160:1991;347-370.
10. Weber H. Lattice uniformities and modular functions on orthomodular lattices. Order. 12:1995;295-305.
11. H. Weber, On modular functions, Funct. Approx.
12. H. Weber.