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References
C. D. Aliprantis -O. Burkinshaw,Locally Solid Riezs Spaces, Academic Press, New York (1978).
G.Birkhoff,Lattice Theory, AMS Colloquium Publications, vol. 25, Providence, Rhode Island (1984).
A. Basile -H. Weber,Topological Boolean rings of first and second category. Separating points for a countable family of measures, Radovi Matematički.,2 (1986), pp. 113–125.
C. Constantinescu,Some properties of spaces of measures, Suppl. Atti Sem. Mat. Fis. Univ. Modena,35 (1989), pp. 1–286.
L. Drewnowski,Topological rings of sets, continuous set functions, integration I, Bull. Acad, Polon. Sci., Sér. Sci. Math. Astr. Phys.,20 (1972), pp. 269–276.
D. H. Fremlin,Topological Riesz Spaces and Mesure Theory, Cambridge University Press, Cambridge (1974).
I. Fleischer -T. Traynor,Group-valued modular functions, Algebra Universalis,14 (1982), pp. 287–291.
T. G. Kiseleva,Partially ordered sets endowed with a uniform structure (Russian), Vestnik Leningrad. Univ.,22, Nr. 13 (1967), pp. 51–57.
L. Nachbin,Topology and Order, D. Van Nostrand Company, New York (1965).
F. W. SchÄpke,Integrationstheorie und quasinormierte Gruppen, J. reine angew. Math.,253 (1972), pp. 117–137.
K. D. Schmidt,Jordan decompositions of generalized vector measures, Longman, Pitman Research Notes in Mathematics, series, vol.214, Essex (1989).
B. šmarda,The lattice of topologies of topological l-groups, Czechoslovak Math. J.,26 (1976), pp. 128–136.
H. Weber,R-freie Integrationstheorie I, II, J. reine angew. Math.,289 (1977), pp. 30–54;290 (1977), pp. 1–23.
H. Weber,Vergleich monotoner Ringtopologien und absolute Stetigkeit von Inhalten, Commentarii Mathematici Universitatis Sancti Pauli,31 (1982), pp. 49–60.
H.Weber,Metrization of uniform lattices, Czechoslovak Math. J.
M. Wilhelm,Completeness of l-groups and of l-seminorms, Comment. Math.,21 (1979), pp. 271–281.
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Weber, H. Uniform lattices. Annali di Matematica pura ed applicata 160, 347–370 (1991). https://doi.org/10.1007/BF01764134
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DOI: https://doi.org/10.1007/BF01764134