Geodesic
Criteria for σ-Smoothness, τ-Smoothness, and Tightness of Lattice Regular Measures, with Applications
Canadian journal of mathematics, Tome 33 (1981) no. 6, pp. 1498-1525

Voir la notice de l'article provenant de la source Cambridge University Press

Consider an arbitrary set X and an arbitrary disjunctive lattice of subsets of X, L. The algebra of subsets of X generated by L is denoted by , the set of all L-regular measures on , by MR(L), and the associated Wallman space, a compact T 1 space, by IR(L); assume X is embedded in IR(L) (otherwise, consider the image of X in IR(L)).In part of an earlier paper [4] the work of Knowles [15] and Gould and Mahowald [11] was generalized from the explicit topological setting of X, a Tychonoff space, with L the lattice of zero sets of X, to the above setting, with the added assumption that L was also δ and normal. This was done so that the important Alexandroff Representation Theorem [1] could be utilized in order to induce two associated measures , and defined on and respectively, where W(L) is the Wallman lattice in IR(L). 
Bachman, George; Stratigos, Panagiotis D. Criteria for σ-Smoothness, τ-Smoothness, and Tightness of Lattice Regular Measures, with Applications. Canadian journal of mathematics, Tome 33 (1981) no. 6, pp. 1498-1525. doi: 10.4153/CJM-1981-115-4
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