Locally convex projective limit cones

Rok, strany: 2016, 1387 - 1398

Using a family of ordered cones, we define a suitable order to investigate projective limit topologies for cones. Under the strict separation property, the projective limit cone topology is proved to be equivalent to some of the $X$-topologies embedded on a subcone of the product cone in its topology. Also, we discuss the cones of convex subsets in projective limits; in particular, we show that a cone of convex subsets of the projective limit cone in its topology carries the projective limit of the cones of convex subsets in its components.

ISO 690:

Motallebi, M. 2016. Locally convex projective limit cones. In Mathematica Slovaca, vol. 66, no.6, pp. 1387-1398. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0231

APA:

Motallebi, M. (2016). Locally convex projective limit cones. Mathematica Slovaca, 66(6), 1387-1398. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0231