Geodesic
Topological Tverberg Theorem: the proofs and the counterexamples
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 2, pp. 355-362

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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 $K(S_r,1)$, where $S_r$ is the permutation group. Bibliography: 9 titles.
Keywords: Tverberg Theorem, Borsuk–Ulam Theorem
Mots-clés : $\mathscr{O}$-orientation. 
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     author = {S. B. Shlosman},
     title = {Topological {Tverberg} {Theorem:} the proofs and the counterexamples},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {355--362},
     publisher = {mathdoc},
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     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2018_73_2_a3/}
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S. B. Shlosman. Topological Tverberg Theorem: the proofs and the counterexamples. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 2, pp. 355-362. http://geodesic.mathdoc.fr/item/RM_2018_73_2_a3/