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Universität Augsburg
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Universität Augsburg
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Benedikt von Seelstrang
Universität Augsburg
spricht am
Montag, 19. Oktober 2015
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| For Riemannian manifolds, there are several largeness properties including enlargeability, having hypereuclidean or hyperspherical universal covers, or having infinite K-area. Brunnbauer and Hanke extended the first three of these notions to homology classes of simplicial complexes in such a way that a closed manifold has one of the largeness properties if and only if its fundamental class is large in the corresponding sense. This is used to show that having one of those largeness properties only depends on the image of the fundamental class under the map induced by the classifying map of the universal cover. This is called homological invariance of the largeness properties. Similarly, one can define infiniteness of K-area of homology classes of simplicial complexes and use this notion to prove homological invariance of finiteness of K-area. |
| Hierzu ergeht herzliche Einladung. |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).