Geodesic
Control and separating points of modular functions
Mathematica slovaca, Tome 49 (1999) no. 2, pp. 155-182
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Classification : 06B30, 06C15, 28B05, 28B10 
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Avallone, Anna; Barbieri, Giuseppina; Cilia, Raffaella. Control and separating points of modular functions. Mathematica slovaca, Tome 49 (1999) no. 2, pp. 155-182. http://geodesic.mathdoc.fr/item/MASLO_1999_49_2_a3/

[Al] AAVALLONE A.: Liapunov theorem for modular functions. Internat. J. Theoret. Phys. 34 (1995), 1197-1204. | MR

[A2] AVALLONE A.: Nonatomic vector-valued modular functions. Preprint (1995). | MR

[A-L] AVALLONE A., LEPELLERE M. A.: Modular functions: Uniform boundedness and compactness. Rend. Circ. Mat. Palermo (2) XLVII (1998), 221-264. | MR | Zbl

[A-W] AVALLONE A.-WEBER H.: Lattice uniformities generated by filters. J. Math. Anal. Appl. 209 (1997), 507-528. | MR | Zbl

[B-Wl] BARBIERI G.-WEBER H.: A topological approach to the study of fuzzy measures. In: Functional Analysis and Economic Theory (Y. Abramovich et al., eds.), Springer, Berlin, 1998, pp. 17-46. | MR | Zbl

[B-W2] BASILE A.-WEBER H.: Topological Boolean rings of first and second category. Separating points for a countable family of measures, Radovi Mat. 2 (1986), 113-125. | MR | Zbl

[Bl] BASILE A.: Controls of families of finitely additive functions. Ricerche Mat. XXXV (1986), 291-302. | MR | Zbl

[B2] BIRKHOFF G.: Lattice Theory. (3rd ed.), Amer. Math. Soc, Providence, R.L, 1967. | MR | Zbl

[C] COSTANTINESCU C.: Some properties of speces of measures. Atti Sem. Mat. Fis. Univ. Modena 35, Supplemento (1987).

[Dl] DREWNOWSKI L.: Topological rings of sets, continuous set functions, integration. III. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 20 (1972), 439-445. | MR | Zbl

[D2] DREWNOWSKI L.: On control submeasures and measures. Studia Math. L (1974), 203-224. | MR | Zbl

[F-Tl] FLEISCHER I.-TRAYNOR T.: Equivalence of group-valued measure on an abstract lattice. Bull. Acad. Polon. Sci. Ser. Sci. Math. 28 (1980), 549-556. | MR

[F-T2] FLEISCHER I.-TRAYNOR T.: Group-valued modular functions. Algebra Universalis 14 (1982), 287-291. | MR | Zbl

[Gl] GOULD G. G.: Extensions of vector-valued measures. Proc. London. Math. Soc. 16 (1966), 685-704. | MR | Zbl

[G2] G.: General Lattice Theory. Pure Appl. Math., Academic Press, Boston, MA, 1978. | MR | Zbl

[Kl] KINDLER J.: A Mazur-Orlicz type theorem for submodular set functions. J. Math. Anal. Appl. 120 (1986), 533-546. | MR | Zbl

[K2] KRANZ P.: Mutual equivalence of vector and scalar measures on lattices. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 25 (1977), 243-250. | MR | Zbl

[K-W] KLEMENT E. P.-WEBER S.: Generalized measure. Fuzzy Sets and Systems 40 (1991), 375-394. | MR

[L] LIPECKI Z.: A characterization of group-valued measures satisfying the countable chain condition. Colloq. Math. 11 (1974), 231-234. | MR | Zbl

[O] OHBA S.: Some remarks on vector measures. Bull. Math. Soc. Sci. Math. 16 (1972), 217-223. | MR | Zbl

[PI] PAP E.: Hewitt-Yosida decomposition for □-decomposable measures. Tatra Mt. Math. Publ. 3 (1993), 147-154. | MR

[P2] PAP E.: Decompositions of supermodular functions and □-decomposable measures. Fuzzy Sets and Systems 65 (1994), 71-83. | MR

[S] SCHMIDT K.: Jordan Decompositions of Generalized Vector Measures. Pitman Res. Notes Math. Ser. 214., Longman Sci. Tech., Harlow, 1989. | MR | Zbl

[T] TRAYNOR T.: Modular functions and their Frechet-Nikodym topologies. In: Lecture Notes in Math. 1089, Springer, New Yourk, 1984, pp. 171-180. | MR | Zbl

[Wl] WEBER H.: Uniform lattices I: A generalization of topological Riesz space and topological Boolean rings; Uniform lattices II. Ann. Mat. Pura Appl. 160; 165 (1991; 1993), 347-370; 133-158. | MR

[W2] WEBER H.: Valuations on complemented lattices. Internat. J. Theoret. Phys. 34 (1995), 1799-1806. | MR | Zbl

[W3] WEBER H.: Lattice uniformities and modular functions on orthomodular lattices. Order 12 (1995), 295-305. | MR | Zbl

[W4] WEBER H.: On modular functions. Funct. Approx. Comment. Math. 24 (1996), 35-52. | MR | Zbl

[W5] WEBER H.: Uniform lattices and modular functions. Atti Sem. Mat. Fis. Univ. Modena XLVII (1999), 159-182. | MR | Zbl

[W6] WEBER H.: Manuscript. | Zbl