Topological Tverberg Theorem: The proofs and the counterexamples

S. B. Shlosman

Research output: Contribution to journalReview articlepeer-review

1 Citation (Scopus)


The history of the Topological Tverberg Theorem (TTT) is described. Some important constructions are presented, and their properties are discussed. In particular, there is a detailed description of the cell structure of the classifying space K(Sr, 1), where Sr is the permutation group. Bibliography: 9 titles.

Original languageEnglish
Pages (from-to)355-362
Number of pages8
JournalRussian Mathematical Surveys
Issue number2
Publication statusPublished - 2018


  • Borsuk-Ulam Theorem
  • O-orientation
  • Tverberg Theorem


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