How regular can maxitive measures be? - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Topology and its Applications Year : 2013

How regular can maxitive measures be?


We examine domain-valued maxitive measures defined on the Borel subsets of a topological space. Several characterizations of regularity of maxitive measures are proved, depending on the structure of the topological space. Since every regular maxitive measure is completely maxitive, this yields sufficient conditions for the existence of a cardinal density. We also show that every outer-continuous maxitive measure can be decomposed as the supremum of a regular maxitive measure and a maxitive measure that vanishes on compact subsets under appropriate conditions.

Dates and versions

hal-00922372 , version 1 (26-12-2013)



Paul Poncet. How regular can maxitive measures be?. Topology and its Applications, 2013, 160 (4), pp.606-619. ⟨10.1016/j.topol.2013.01.007⟩. ⟨hal-00922372⟩
162 View
0 Download



Gmail Facebook Twitter LinkedIn More