Affine-compact functors
Combinatorics
2018-05-21 v2 Algebraic Topology
Abstract
Several well known polytopal constuctions are examined from the functorial point of view. A naive analogy between the Billera-Sturmfels fiber polytope and the abelian kernel is disproved by an infinite explicit series of polytopes. A correct functorial formula is provided in terms of the affine-compact kernel. The dual cokernel object is almost always the natural affine projection. The Mond-Smith-van Straten space of sandwiched simplices, useful in stochastic factorizations, leads to a different kind of affine-compact functors and new challenges in polytope theory.
Cite
@article{arxiv.1608.04177,
title = {Affine-compact functors},
author = {Joseph Gubeladze},
journal= {arXiv preprint arXiv:1608.04177},
year = {2018}
}
Comments
Final, significantly revised version. To appear in Advances in Geometry