تقرير
Classifying spaces and Bredon (co)homology for transitive groupoids
| العنوان: | Classifying spaces and Bredon (co)homology for transitive groupoids |
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| المؤلفون: | Farsi, Carla, Scull, Laura, Watts, Jordan |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Topology, 22A22, 55N91, 55R91 |
| الوصف: | We define the orbit category for transitive topological groupoids and their equivariant CW-complexes. By using these constructions we define equivariant Bredon homology and cohomology for actions of transitive topological groupoids. We show how these theories can be obtained by looking at the action of a single isotropy group on a fiber of the anchor map, extending equivariant results for compact group actions. We also show how this extension from a single isotropy group to the entire groupoid action can be applied to the structure of principal bundles and classifying spaces. Comment: 15 pages; to appear in Proceedings of the AMS; V3 has modified structure and added applications |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1809.00272 |
| رقم الأكسشن: | edsarx.1809.00272 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |