TY - JOUR
T1 - Isomorphisms between groups of equivariant homeomorphisms of G-manifolds with one orbit type
AU - Rubin, Matatyahu
AU - Rybicki, Tomasz
N1 - Funding Information:
E-mail addresses: [email protected] (M. Rubin), [email protected] (T. Rybicki). 1 The author is partially supported by the Polish Ministry of Science and Higher Education and the AGH grant No. 11.420.04.
PY - 2012/8/1
Y1 - 2012/8/1
N2 - Given a compact Lie group G, a reconstruction theorem for free G-manifolds is proved. As a by-product reconstruction results for locally trivial bundles are presented. Next, the main theorem is generalized to G-manifolds with one orbit type. These are the first reconstruction results in the category of G-spaces, showing also that the reconstruction in this category is very specific and involved.
AB - Given a compact Lie group G, a reconstruction theorem for free G-manifolds is proved. As a by-product reconstruction results for locally trivial bundles are presented. Next, the main theorem is generalized to G-manifolds with one orbit type. These are the first reconstruction results in the category of G-spaces, showing also that the reconstruction in this category is very specific and involved.
KW - Constant-like homeomorphism
KW - Equivariant homeomorphism
KW - Factorizable group
KW - G-manifold
KW - G-space
KW - Group of homeomorphisms
KW - Reconstruction theorem
UR - http://www.scopus.com/inward/record.url?scp=84862847411&partnerID=8YFLogxK
U2 - 10.1016/j.topol.2012.05.030
DO - 10.1016/j.topol.2012.05.030
M3 - Article
AN - SCOPUS:84862847411
SN - 0166-8641
VL - 159
SP - 2899
EP - 2908
JO - Topology and its Applications
JF - Topology and its Applications
IS - 12
ER -