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INTERTWINING CATEGORY AND COMPLEXITY
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DOI：10.4310/HHA.2026.v28.n1.a4.png)
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Abstract
En 中文
We develop the theory of the intertwining versions of the LS-category and the sequential topological complexities of a prove that they satisfy most of the nice properties as their as homotopy invariance and special behavior on topological groups. We show that the notions of iTCm and dTCm are different for each m 2 by proving that iTCm(1-L) = 1 for all m 2 for Higman's group 1-L. We also find cohomological lower bounds to icat(X) and iTCm(X) and using them, we provide various examples of locally finite CW complexes X for and iTC(X) = dTC(X) = TC(X).
Keywords:
sequential intertwining topological complexity
intertwining Lusternik-Schnirelmann category
resolvable path
probability measure
sequential distributional topological complexity
intertwined navigation algorithm
Journal
H
IF:
0.5
Papers:
10
Citations:
0
