We develop a general theory of extrapolation spaces, a complement to the familiar theory of interpolation spaces. Our results allow us to extend the classical extrapolation theorem of Yano to scales of Banach spaces. We give applications to classical and modern analysis includin…
The problem that we are concerned with is the existence and construction of embeddings of a given G-CW complex (G-manifold) in another G-CW complex (G-manifold) having a prescribed homotopy type and a prescribed family of isotropy subgroups.
Let [italic]Y be a simply-connected, simple algebraic group of exceptional type, defined over an algebraically closed field [italic]k of prime characteristic [italic]p > 0. The main result describes all semisimple, closed connected subgroups of [italic]Y which act irreducibly on…