The Topological Transversal Tverberg Theorem Plus Constraints

@article{Blagojevic2018TheTT,
  title={The Topological Transversal Tverberg Theorem Plus Constraints},
  author={Pavle V. M. Blagojevi'c and Aleksandra S. Dimitrijevi'c Blagojevi'c and G. Ziegler},
  journal={arXiv: Combinatorics},
  year={2018},
  pages={49-64}
}
In this paper we use the strength of the constraint method in combination with a generalized Borsuk–Ulam type theorem and a cohomological intersection lemma to show how one can obtain many new topological transversal theorems of Tverberg type. In particular, we derive a topological generalized transversal Van Kampen–Flores theorem and a topological transversal weak colored Tverberg theorem. 
1 Citations

Figures from this paper

References

SHOWING 1-10 OF 24 REFERENCES
Tverberg's Transversal Conjecture and Analogues of Nonembeddability Theorems for Transversals
  • R. Karasev
  • Mathematics, Computer Science
  • Discret. Comput. Geom.
  • 2007
  • 17
  • Highly Influential
  • PDF
Tverberg plus constraints
  • 49
  • PDF
Tverberg's Conjecture
  • S. Vrecica
  • Mathematics, Computer Science
  • Discret. Comput. Geom.
  • 2003
  • 14
  • PDF
On the van Kampen-Flores theorem
  • 37
Eliminating Tverberg Points, I. An Analogue of the Whitney Trick
  • 34
  • Highly Influential
...
1
2
3
...