Obstructions for constructing equivariant fibrations
| dc.citation.epage | 1330 | en_US |
| dc.citation.issueNumber | 3 | en_US |
| dc.citation.spage | 1313 | en_US |
| dc.citation.volumeNumber | 12 | en_US |
| dc.contributor.author | Ilhan, A.G. | en_US |
| dc.date.accessioned | 2016-02-08T09:45:41Z | |
| dc.date.available | 2016-02-08T09:45:41Z | |
| dc.date.issued | 2012 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Let G be a finite group and H be a family of subgroups of G which is closed under conjugation and taking subgroups. Let B be a G-CW-complex whose isotropy subgroups are in H and let F = {F H} H e{open}H be a compatible family of H -spaces. A G -fibration over B with the fiber type F = {F H} H e{open}H is a G -equivariant fibration p: E → B where p -1(b) is G b -homotopy equivalent to F Gb for each b e{open} B. In this paper, we develop an obstruction theory for constructing G-fibrations with the fiber type F over a given G -CW-complex B. Constructing G -fibrations with a prescribed fiber type F is an important step in the construction of free G -actions on finite CW-complexes which are homotopy equivalent to a product of spheres. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T09:45:41Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2012 | en |
| dc.identifier.doi | 10.2140/agt.2012.12.1313 | en_US |
| dc.identifier.issn | 14722747 | |
| dc.identifier.uri | http://hdl.handle.net/11693/21395 | |
| dc.language.iso | English | en_US |
| dc.relation.isversionof | 10.2140/agt.2012.12.1313 | en_US |
| dc.source.title | Algebraic and Geometric Topology | en_US |
| dc.subject | Bredon cohomology | en_US |
| dc.subject | Equivariant fibration | en_US |
| dc.subject | Group action | en_US |
| dc.subject | Obstruction theory | en_US |
| dc.title | Obstructions for constructing equivariant fibrations | en_US |
| dc.type | Article | en_US |
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