Please use this identifier to cite or link to this item:
|Title:||Homology decompositions of the loops on 1-stunted Borel constructions of C2 -actions|
|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|
|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.|
|Source Title:||Algebraic and Geometric Topology|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Oct 8, 2018
WEB OF SCIENCETM
checked on Oct 1, 2018
checked on Oct 12, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.