Motion planning in connected sums of real projective spaces

Document Type

Article

Publication Date

1-1-2019

Abstract

The topological complexity TC(X) is a homotopy invariant of a topological space X, motivated by robotics, and providing a measure of the navigational complexity of X. The topological complexity of a connected sum of real projective planes, that is, a high genus nonorientable surface, is known to be maximal. We use algebraic tools to show that the analogous result holds for connected sums of higher dimensional real projective spaces.

Publication Source (Journal or Book title)

Topology Proceedings

First Page

323

Last Page

334

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