Please use this identifier to cite or link to this item:
https://doi.org/10.2140/agt.2013.13.3175
DC Field | Value | |
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dc.title | Homology decompositions of the loops on 1-stunted Borel constructions of C2 -actions | |
dc.contributor.author | Gao, M. | |
dc.contributor.author | Wu, J. | |
dc.date.accessioned | 2014-10-28T02:36:32Z | |
dc.date.available | 2014-10-28T02:36:32Z | |
dc.date.issued | 2013-09-11 | |
dc.identifier.citation | Gao, M., Wu, J. (2013-09-11). Homology decompositions of the loops on 1-stunted Borel constructions of C2 -actions. Algebraic and Geometric Topology 13 (6) : 3175-3201. ScholarBank@NUS Repository. https://doi.org/10.2140/agt.2013.13.3175 | |
dc.identifier.issn | 14722747 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/103381 | |
dc.description.abstract | The Carlsson construction is a simplicial group whose geometric realization is the loop space of the 1-stunted reduced Borel construction. Our main results are: (i) given a pointed simplicial set acted upon by the discrete cyclic group C2 of order 2, if the orbit projection has a section, then the loop space on the geometric realization of the Carlsson construction has a mod 2 homology decomposition; (ii) in addition, if the reduced diagonal map of the C2 -invariant set is homologous to zero, then the pinched sets in the above homology decomposition themselves have homology decompositions in terms of the C2 -invariant set and the orbit space. Result (i) generalizes a previous homology decomposition of the second author for trivial actions. To illustrate these two results, we compute the mod 2 Betti numbers of an example. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.2140/agt.2013.13.3175 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.2140/agt.2013.13.3175 | |
dc.description.sourcetitle | Algebraic and Geometric Topology | |
dc.description.volume | 13 | |
dc.description.issue | 6 | |
dc.description.page | 3175-3201 | |
dc.identifier.isiut | 000327382900005 | |
Appears in Collections: | Staff Publications |
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