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A unified theory for homotopy principles for multimaps
Authors:Donal O'Regan
Institution:1. School of Mathematics, Statistics and Applied Mathematics , National University of Ireland , Galway , Ireland donal.oregan@nuigalway.ie
Abstract:In this article, we present a definition of d-essential and dL-essential maps in completely regular topological spaces and we establish a homotopy property for both d-essential and dL-essential maps. Also using the notion of extendability, we present new continuation theorems.
Keywords:continuation methods  d-essential  fixed points
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