Summary
In this paper, we are primarily concerned with the general Wallman spaces IR (L) andI Rσ L, associated with an abstract set X and a lattice of subsets of X,L. For a pair of latticesL 1 ⊂L 2 with L 1 ⊂L 2 we investigate first separation properties and finally we turn attention to the preservation of some of the properties introduced in connection withI Rσ and the latticesW σ(L) andtW σ(L).
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. D. Alexandroff,Additive set functions in abstract spaces, Mat. Sb. (N.S.) 8,50 (1940), pp. 307–348.
G. Bachman -M. Szeto,On strongly measure replete lattices and the general Wallman remainder, Fundamenta Mathematicae,122 (1984), pp. 199–217.
G. Bachman -A. Sultan,Regular lattice measures: mappings and spaces, Pacific Journal Math.,67, No. 2 (1976), pp. 291–321.
N. Bourbaki,Elements of Mathematics, General Topology, Part I, Addison-Wesley, Reading, Massachusetts, 1966.
G. Nöbeling,Grundlagen der analytischen Topologie, Springer-Verlag, Berlin, 1954.
R. T. Ramsay,Lindelöf realcompactifications, Michigan Math. Journal,17 (1970), pp. 353–354.
M. Szeto,Measure repleteness and mapping preservations, Journ. Indian Math. Soc.,43 (1979), pp. 35–52.
V. S. Varadarajan,Measures on topological spaces, Amer. Math. Soc. Transl. Ser.2, 48 (1965), pp. 161–228.
C. Vlad,Direct product of measures, Liberias Mathematica,7 (1987), pp. 71–84.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vlad, C. Lattice separation and properties of Wallman type spaces. Annali di Matematica pura ed applicata 159, 65–79 (1991). https://doi.org/10.1007/BF01766293
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01766293