---
res:
  bibo_abstract:
  - "Denote by ∆N the N-dimensional simplex. A map f : ∆N → Rd is an almost r-embedding
    if fσ1∩. . .∩fσr = ∅ whenever σ1, . . . , σr are pairwise disjoint faces. A counterexample
    to the topological Tverberg conjecture asserts that if r is not a prime power
    and d ≥ 2r + 1, then there is an almost r-embedding ∆(d+1)(r−1) → Rd. This was
    improved by Blagojevi´c–Frick–Ziegler using a simple construction of higher-dimensional
    counterexamples by taking k-fold join power of lower-dimensional ones. We improve
    this further (for d large compared to r): If r is not a prime power and N := (d+
    1)r−r l\r\nd + 2 r + 1 m−2, then there is an almost r-embedding ∆N → Rd. For the
    r-fold van Kampen–Flores conjecture we also produce counterexamples which are
    stronger than previously known. Our proof is based on generalizations of the Mabillard–Wagner
    theorem on construction of almost r-embeddings from equivariant maps, and of the
    Ozaydin theorem on existence of equivariant maps. @eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Sergey
      foaf_name: Avvakumov, Sergey
      foaf_surname: Avvakumov
      foaf_workInfoHomepage: http://www.librecat.org/personId=3827DAC8-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-7840-5062
  - foaf_Person:
      foaf_givenName: R.
      foaf_name: Karasev, R.
      foaf_surname: Karasev
  - foaf_Person:
      foaf_givenName: A.
      foaf_name: Skopenkov, A.
      foaf_surname: Skopenkov
  bibo_doi: 10.48550/arXiv.1908.08731
  dct_date: 2019^xs_gYear
  dct_identifier:
  - UT:000986519600004
  dct_language: eng
  dct_title: Stronger counterexamples to the topological Tverberg conjecture@
...