An essential map theory for ${\mathcal U}_c^{\kappa}$ and PK maps

Ravi P. Agarwal, Donal O'Regan

DOI: http://dx.doi.org/10.12775/TMNA.2003.023

Abstract


This paper presents a continuation theory for
${\mathcal U}_c^{\kappa}$ maps. The analysis is elementary and relies on
properties of retractions and fixed point
theory for self maps. Also we present a separate
theory for a certain subclass of ${\mathcal U}_c^{\kappa}$ maps, namely the
$PK$ maps.

Keywords


Continuation theory; essential maps

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