Orbifolds as stratified diffeologies |
| |
Affiliation: | 1. Galatasaray University, Ortaköy, Çırağan Cd. No:36, 34349 Beşiktaş/İstanbul, Turkey;2. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, 9190401 Jerusalem, Israel |
| |
Abstract: | We discuss general properties of stratified spaces in diffeology. This leads to a formal framework for the theory of stratifications. In particular, we consider the Klein stratification of diffeological orbifolds, defined by the action of local diffeomorphisms. We show that it is a standard stratification in the sense that the partition of the space into orbits of local diffeomorphisms is locally finite (for orbifolds with locally finite atlases), it satisfies the frontier condition and the orbits are locally closed manifolds. |
| |
Keywords: | Orbifolds Diffeology Stratification |
本文献已被 ScienceDirect 等数据库收录! |
|