Approximations by differences of lower semicontinuous functions

In: Tatra Mountains Mathematical Publications, vol. 62, no. 1

Eduard Omasta

Detaily:

Rok, strany: 2015, 183 - 190

Kľúčové slová:

binormal spaces, Baire-one functions, approximately continuous functions, finely continuous functions, density topologies

O článku:

A classical theorem of W. Sierpiński, S. Mazurkiewicz and S. Kempisty says that the class of all differences of lower semicontinuous functions is uniformly dense in the space of all Baire-one functions. We show a generalization of this result to more general situations and derive an abstract theorem in the case of a binormal topological space.

Ako citovať:

ISO 690:

Omasta, E. 2015. Approximations by differences of lower semicontinuous functions. In Tatra Mountains Mathematical Publications, vol. 62, no.1, pp. 183-190. 1210-3195.

APA:

Omasta, E. (2015). Approximations by differences of lower semicontinuous functions. Tatra Mountains Mathematical Publications, 62(1), 183-190. 1210-3195.