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The fundamental group of the Quillen complex of the symmetric group is studied and the cases where the complex is simply-connected are determined. Other results concerning the homology groups are also proved. ...
Rational homotopy theory is the study of topological spaces “modulo torsion”. When rational homotopy theorists calculate algebraic invariants of a topological space, such as its homotopy or homology groups, they retain only the nontorsion information. Alge ...
