ISSN:
1572-9273
Keywords:
Boolean algebra
;
δ-paving
;
topological lattice group
;
K-inner regular measure
;
Alexandroff space
;
A-compactness
;
Wallman extension
;
F-mooth measure
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let (X, F) be an Alexandroff space, let A(F) be the Boolean subalgebra of 2 X generated by F, let G be a Hausdorff commutative topological lattice group and let rbaF(A(F), G) denote the set of all order bounded F-inner regular finitely additive set functions from A(F) into G. Using some special properties of the elements of rbaF(A(F), G), we extend to this setting the first decomposition theorem of Alexandroff.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006436305188
Permalink