Eliminating Higher-Multiplicity Intersections, I. A Whitney Trick for Tverberg-Type Problems

  title={Eliminating Higher-Multiplicity Intersections, I. A Whitney Trick for Tverberg-Type Problems},
  author={Isaac Mabillard and Uli Wagner},
Motivated by topological Tverberg-type problems in topological combinatorics and by classical results about embeddings (maps without double points), we study the question whether a finite simplicial complex K can be mapped into R without triple, quadruple, or, more generally, r-fold points (image points with at least r distinct preimages), for a given multiplicity r ≥ 2. In particular, we are interested in maps f : K → R that have no r-Tverberg points, i.e., no r-fold points with preimages in r… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 58 references

Equivariant maps for the symmetric group

  • M. Özaydin
  • Unpublished manuscript, available online at http…
  • 1987
Highly Influential
14 Excerpts

On transversality

  • J.F.P. Hudson
  • Proc. Cambridge Philos. Soc., 66:17–20,
  • 1969
Highly Influential
4 Excerpts

Komplexe in euklidischen Räumen

  • E. R. van Kampen
  • Abh. Math. Sem. Univ. Hamburg,
  • 1932
Highly Influential
20 Excerpts

Counterexamples to the topological Tverberg conjecture

  • F. Frick
  • Preprint, arXiv:1502.00947,
  • 2015
Highly Influential
6 Excerpts

User’s guide to equivariant methods in combinatorics

  • R. T. Živaljević
  • II. Publ. Inst. Math. (Beograd) (N.S.), 64(78…
  • 1998
Highly Influential
4 Excerpts

Obstructions to the imbedding of a complex in a euclidean space

  • A. Shapiro
  • I. The first obstruction. Ann. of Math. (2), 66…
  • 1957
Highly Influential
4 Excerpts

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