arXiv Analytics

Sign in

arXiv:2401.07435 [math.GT]AbstractReferencesReviewsResources

Manifolds from Partitions

Oliver Knill

Published 2024-01-15Version 1

If f maps a discrete d-manifold G onto a (k+1)-partite complex P then H(G,f,P),the set of simplices x in G such that f(x) contains at least one facet in P defines a (d-k)-manifold.

Comments: 10 pages, 8 figures
Categories: math.GT, cs.DM, math.CO
Subjects: 68R10, 05C50, 57M15
Related articles: Most relevant | Search more
arXiv:math/0506547 [math.GT] (Published 2005-06-27, updated 2005-09-15)
Coarse dimensions and partitions of unity
arXiv:math/0602466 [math.GT] (Published 2006-02-21)
Mobius transformations of polygons and partitions of 3-space
arXiv:2005.12571 [math.GT] (Published 2020-05-26)
An Euler-type formula for partitions of the Möbius strip

Links

Toolbox