439 research outputs found
Assessment of Design Based Project Work
Since the introduction of the C.S.E., project work has become an accepted and important aspect of most external examinations in the materials subjects. Responsibility for assessing projects in both C.S.E. and G.C.E. has fallen squarely on the shoulders of teachers who supervise pupils undertaking projects, and there is an indication that this may be continued if 'a common system of examinating' is introduced
On a notion of maps between orbifolds, I. function spaces
This is the first of a series of papers which are devoted to a comprehensive
theory of maps between orbifolds. In this paper, we define the maps in the more
general context of orbispaces, and establish several basic results concerning
the topological structure of the space of such maps. In particular, we show
that the space of such maps of C^r-class between smooth orbifolds has a natural
Banach orbifold structure if the domain of the map is compact, generalizing the
corresponding result in the manifold case. Motivations and applications of the
theory come from string theory and the theory of pseudoholomorphic curves in
symplectic orbifolds.Comment: Final version, 46 pages. Accepted for publication in Communications
in Contemporary Mathematics. A preliminary version of this work is under a
different title "A homotopy theory of orbispaces", arXiv: math. AT/010202
Une preuve analytique de la conjecture de J. Rosenberg
Il est exposé une nouvelle démonstration de l'invariance birationnelle de la classe fondamentale en K-théorie d'une variété analytique complexe en utilisant la K-homologie analytique de G. Kasparov. Une généralisation au cas des familles du théorème d'indice de Gromov-Lawson est établie
The strong Novikov conjecture for low degree cohomology
We show that for each discrete group G, the rational assembly map
K_*(BG) \otimes Q \to K_*(C*_{max} G) \otimes \Q is injective on classes dual
to the subring generated by cohomology classes of degree at most 2 (identifying
rational K-homology and homology via the Chern character). Our result implies
homotopy invariance of higher signatures associated to these cohomology
classes. This consequence was first established by Connes-Gromov-Moscovici and
Mathai.
Our approach is based on the construction of flat twisting bundles out of
sequences of almost flat bundles as first described in our previous work. In
contrast to the argument of Mathai, our approach is independent of (and indeed
gives a new proof of) the result of Hilsum-Skandalis on the homotopy invariance
of the index of the signature operator twisted with bundles of small curvature.Comment: 11 page
Classical limit of Lie groupoid C^*-algebras
Let G be a Lie groupoid and L his Lie algebroid. We give a definition of the
classical limit of a C^*-bundle and we use the tangent groupoid associated to G
to show that the Poisson structure on L is the classical limit of a C^*-bundle.Comment: 4 pages, in french, LaTeX 2.09, submitted to Comptes Rendus Acad.
Sci. Pari
- …