2 papers
math.MG2014
Colorful versions of the Lebesgue, KKM, and Hex theorem
Djordje Baralić, Rade Živaljević
Following and developing ideas of R. Karasev (Covering dimension using toric varieties, arXiv:1307.3437), we extend the Lebesgue theorem (on covers of cubes) and the Knaster-Kurato…
math.AT2014
Quasitoric manifolds and Small covers over properly colored polytopes: Immersions and Embeddings
Djordje Baralic, Vladimir Grujic
We construct small covers and quasitoric manifolds over -dimensional simple polytopes which allow proper colorings of facets with colors. We calculate Stiefel-Whitney classe…