The existence of universal elements in new classes of mappings.

Co-authors: Y. Hattori, A. Megaritis, F. Sereti

In [1, 2] S.D. Iliadis introduced the notion of a universal mapping for a given class of continuous mappings and proved the existence of universal elements for many classes of mappings. In this paper, we give a special interest to this investigation of universal elements. Especially, we study the existence of universal elements in several new classes of continuous mappings which are determined by types of open mappings.

References

[1] S. D. Iliadis, Universal spaces and mappings. North-Holland Mathematics Studies, 198. Elsevier Science B.V., Amsterdam, 2005.

[2] S. Iliadis, Mappings and universality, Topology Appl. 137 (2004), no. 1-3, 175186.