Title of article
Topological spaces induced by homotopic distance
Author/Authors
Vergili ، T. Department of Mathematics - Faculty of Science - Karadeniz Technical University , Borat ، A. Department of Mathematics - Faculty of Engineering and Natural Sciences - Bursa Technical University
From page
85
To page
91
Abstract
Topological complexity which plays an important role in motion planning problem can be generalized to homotopic distance D as introduced in [6]. In this paper, we study the homotopic distance and mention that it can be realized as a pseudometric on Map(X, Y ). Moreover we study the topology induced by the pseudometric D. In particular, we consider the space Map(S^1, S^1) and use the non-compactness of it to talk about the non-compactness of Map(X, Y ).
Keywords
Homotopic distance , Metric spaces , Topological complexity , Lusternik Schnirelmann category
Journal title
Journal of Linear and Topological Algebra
Journal title
Journal of Linear and Topological Algebra
Record number
2725567
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