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Quasicontinuity and related properties of functions and multivalued maps

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.

Quasi-equivalence of compacta and spaces of components.

José M. Rodríguez Sanjurjo (1980)

Collectanea Mathematica

Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.

Questions

Alexey Ostrovsky (2005)

Acta Universitatis Carolinae. Mathematica et Physica

Quotients of peripherally continuous functions

Jolanta Kosman (2011)

Open Mathematics

We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.

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