Allegati

Bando per Laurea Specialistica in Matematica

 

Bando per Laurea in Matematica

 

Worksho sistemi dinamici

 

"Bisimilarity, behavioural and logical equivalence for stochastic right coalgebras"

 

Il giorno seguente, il Prof Doberkat terra' un seminario all'Universita' di Trieste dal titolo

 

Conferenza prof. Linati

 

Abrstract-seminanio-sequential

 

L'OPERA OMNIA DI EUCLIDE

 

Locandina seminario Alvisi

 

The Bing-Borsuk and the Busemann Conjectures

Duˇsan Repovˇs Faculty of Mathematics and Physics University of Ljubljana Ljubljana, Slovenia Email address: dusan.repovs@guest.arnes.si Homepage: www.fmf.uni-lj.si/∼repovs/ We shall present a survey of two classical conjectures concerning the characterization of topological n-manifolds: the Bing-Borsuk Conjec- ture asserts that every n-dimensional homogeneous absolute neighbor- hood retract (ANR), n ≥ 3, is a topological n-manifold, whereas the Busemann Conjecture asserts that every n-dimensional Busemann G- space, n ≥ 3, is a topological n-manifold. The key object in both cases are so-called generalized n-manifolds, i.e. Euclidean neighbor- hood retracts (ENR) which are also Z-homology n-manifolds. We shall look at their history, from the early beginnings to the present day, concentrating on those geometric properties of these spaces which are particular for dimensions 3 and 4, in comparison with generalized (n ≥ 5)-manifolds. In the second part of the talk we shall present the current state of the two conjectures. We shall also list open problems and related conjectures.

Modelling with infinite dimensional dynamical systems - some unexpected pitfalls.