首页>
外文期刊>Jahresbericht der Deutschen Mathematiker-Vereinigung
>Friedhelm Waldhausen, Bjorn Jahren, John Rognes: 'Spaces of PL Manifolds and Categories of Simple Maps' Annals of Mathematics Studies 186, Princeton University Press. 2013,192 pp
【24h】
Friedhelm Waldhausen, Bjorn Jahren, John Rognes: 'Spaces of PL Manifolds and Categories of Simple Maps' Annals of Mathematics Studies 186, Princeton University Press. 2013,192 pp
The book by Waldhausen, Jahren and Rognes is about the approximation, simulation and substitution of homeomor-phisms between manifolds by maps which are combinato-rially defined. In the setting of the book, the manifolds themselves are typically equipped with a piecewise linear (PL) structure, that is, an atlas with changes of charts which are PL. The homeomorphisms are also required to be PL. This should not be seen as a severe restriction and it does not make the approximation and simulation task trivial. For one thing, there are standard ways to make a space out of the PL homeomorphisms from one PL manifold M to another, N, and it is well understood how the homotopy properties of that space differ from those of the space of all homeomorphisms from M to N.
展开▼
