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Isovariant homotopy theory, the Gap Hypothesis, and rational classification problems

Algebraic Topology Seminar

Isovariant homotopy theory, the Gap Hypothesis, and rational classification problems

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Reinhard Schultz, University of California, Riverside
Fine Hall 214

Two issues regarding the Gap Hypothesis and classifying smooth group actions will be discussed: 

  1. The relation between equivariant and isovariant homotopy equivalence when this hypothesis fails.
  1. Generalizations of results on classification up to finite ambiguity as in the work of Rothenberg and Triantafillou.