Computes LS-category and bounds on topological complexity for real torus manifolds and Dold manifolds of real torus type, showing TC equals 2n or 2n+1 under hypotheses and exact symmetric TC values in infinitely many cases.
Moreover, it follows from [ 17, Example 7] that the symmetric topological complexity of a contractible space with more than two points is 2
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LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type
Computes LS-category and bounds on topological complexity for real torus manifolds and Dold manifolds of real torus type, showing TC equals 2n or 2n+1 under hypotheses and exact symmetric TC values in infinitely many cases.