Some productive classes of maps which arc related to confluent maps

On Some Special Classes of Continuous Maps

We present a survey on recent study of special continuous maps, like biquotient, triquotient, proper, perfect, open and étale maps and a selection of open problems in this area. 1. Special morphisms of Top Triquotient maps were introduced by E. Michael in [24] as those continuous maps f : X → Y for which there exists a map ( ) : OX → OY such that, for every U, V in the lattice OX of open subset...

Semi-θ-Open Sets and New Classes of Maps

Branchpoint Covering Theorems for Confluent and Weakly Confluent Maps

A branchpoint of a compactum X is a point which is the vertex of a simple triod in X. A surjective map /: X -» Y is said to cover the branchpoints of Y if each branchpoint in Y is the image of some branchpoint in X. If every map in a class % of maps on a class of compacta & covers the branchpoints of its image, then it is said that the branchpoint covering property holds for ff on 0. According ...

Some results on weakly contractive maps

In this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. Some of these results are improved by using different arguments of control functions. Examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.

Some properties of the arc-sine law related to its invariance under a family of rational maps

This paper shows how the invariance of the arc-sine distribution on (0, 1) under a family of rational maps is related on the one hand to various integral identities with probabilistic interpretations involving random variables derived from Brownian motion with arc-sine, Gaussian, Cauchy and other distributions, and on the other hand to results in the analytic theory of iterated rational maps.