Email this article THE HOMOTOPY INVARIANT PROPERTY OF HIGHER TOPOLOGICAL COMPLEXITY
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Published: 31/05/18Authors
1. Tran Hue Minh
, Thai Nguyen University of Education2. Nguyen Van Ninh, Thai Nguyen University of Education
Abstract
From the problem of planning the motion of a mechanical system in the theory of robots, Rudyak introduced the concept of higher topological complexity of a topological space. This is a concept that measures the continuity of a higher motion planning. In this article, we prove the momotopy invariant of a topological space. As an application, we prove non-homeomorphism of some spaces.
Keywords
motion planning, topological complexity, homotopy invariant, homotopy equivalent
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