Equivariant CW-complexes and the orbit category

Hambleton, Ian
Pamuk, Semra
We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G = S-5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups.


Involutions in locally finite groups
Kuzucuoğlu, Mahmut (Wiley, 2004-04-01)
The paper deals with locally finite groups G having an involution phi such that C-G(phi) is of finite rank. The following theorem gives a very detailed description of such groups.
Bergman projections on Besov spaces on balls
Kaptanoglu, HT (Duke University Press, 2005-06-01)
Extended Bergman projections from Lebesgue classes onto all Besov spaces on the unit ball are defined and characterized. Right inverses and adjoints of the projections share the property that they are imbeddings of Besov spaces into Lebesgue classes via certain combinations of radial derivatives. Applications to the Gleason problem at arbitrary points in the ball, duality, and complex interpolation in Besov spaces are obtained. The results apply, in particular, to the Hardy space H-2, the Arveson space, the...
Hyperbolic conservation laws on manifolds with limited regularity
Lefloch, Philippe G.; Okutmuştur, Baver (Elsevier BV, 2008-05-01)
We introduce a formulation of the initial and boundary value problem for nonlinear hyperbolic conservation laws posed on a differential manifold endowed with a volume form, possibly with a boundary; in particular, this includes the important case of Lorentzian manifolds. Only limited regularity is assumed on the geometry of the manifold. For this problem, we establish the existence and uniqueness of an L-1 semi-group of weak solutions satisfying suitable entropy and boundary conditions.
Oscillation of even order nonlinear delay dynamic equations on time scales
Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık (Institute of Mathematics, Czech Academy of Sciences, 2013-03-01)
One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is...
On equivariant Serre problem for principal bundles
Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2018-08-01)
Let E-G be a Gamma-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Gamma, where G and Gamma are complex linear algebraic groups. Suppose X is contractible as a topological Gamma-space with a dense orbit, and x(0) is an element of X is a Gamma-fixed point. We show that if Gamma is reductive, then E-G admits a Gamma-equivariant isomorphism with the product principal G-bundle X x rho E-G(x(0)), where rho : Gamma -> G is a homomorphism between algebraic...
Citation Formats
I. Hambleton, S. Pamuk, and E. YALÇIN, “Equivariant CW-complexes and the orbit category,” COMMENTARII MATHEMATICI HELVETICI, pp. 369–425, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40424.