# '22

36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

### "Type invariants for solenoidal manifolds"

#### Hurder, Steven

A type is an isomorphism class of subgroups of Q. For example, the Vietoris solenoid is classified up to homeomorphism by its type invariant. In this talk we discuss the type invariants associated to a general solenoidal manifold, defined as the inverse limit space of a tower of proper coverings of a compact manifold. Its collection of types give a homeomorphism invariant for the foliated space defined by the solenoid.

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