On the selector problems for the partitions of Polish spaces and for the compact-valued mappings
Kazimierz Kuratowski (1975)
Annales Polonici Mathematici
Sergio Macías (2024)
Commentationes Mathematicae Universitatis Carolinae
Inspired by the work that Professor Janusz R. Prajs did on homogeneous metric continua in his paper (2010) and the version of his work for Hausdorff continua with the uniform property of Effros done by this author, we introduce a new set function, , and present properties of it.
A. Meimaridou (1985)
Annales Polonici Mathematici
Valeriu Popa, Takashi Noiri (1993)
Mathematica Slovaca
Akdağ, Metin (2001)
Applied Mathematics E-Notes [electronic only]
Popa, Valeriu, Noiri, Takashi (2002)
Novi Sad Journal of Mathematics
Mukherjee, R.N., Som, Tanmoy, Verma, Vandana (1989)
Publications de l'Institut Mathématique. Nouvelle Série
Alessandro Fedeli, Jan Pelant (1991)
Commentationes Mathematicae Universitatis Carolinae
The spaces for which each -continuous function can be extended to a -small point-open l.s.cṁultifunction (resp. point-closed u.s.cṁultifunction) are studied. Some sufficient conditions and counterexamples are given.
Valentin Gutev, Vesko Valov (2009)
Fundamenta Mathematicae
An open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed sets F₀,F₁ ⊂ X with f(F₀) = Y = f(F₁), provided all fibers of f are infinite and C*-embedded in X. Applications are given to the existence of "disjoint" usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and to special type of factorizations of open continuous maps from metrizable spaces onto paracompact C-spaces. This settles several open questions.
Fang, Z.M., Li, S.J., Teo, K.L. (2008)
Journal of Inequalities and Applications [electronic only]
Gabor, Grzegorz (2004)
Abstract and Applied Analysis
Jean-Pierre Aubin, Hélène Frankowska, Andrzej Lasota (1991)
Annales Polonici Mathematici
Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are extended to set-valued dynamical systems with closed graph on a compact metric space.
Joanna Szczawińska (1996)
Annales Polonici Mathematici
The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.
R. T. Rockafellar (1989)
Annales de l'I.H.P. Analyse non linéaire
Milan Matejdes (2010)
Matematički Vesnik
Janina Ewert (1995)
Mathematica Bohemica
The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.
Janina Ewert, Tadeusz Lipski (1983)
Mathematica Slovaca
Chyi Shiau, Kok-Keong Tan, Chi Wong (1975)
Fundamenta Mathematicae
Milan Matejdes (1987)
Mathematica Slovaca
A. Nowak (1989)
Annales Polonici Mathematici