In three-dimensional space set up a cylindrical coordinate system (r, $, z). The Hahn-Mazurkiewicz theorem characterizes Peano spaces (locally connected metric (compact) continua) as the continuous images of the closed unit interval I on the z-axis. In this note we obtain an extension theorem for Peano spaces (henceforth called Pspaces) based upon this characterization. We first define a dendri...

~z"P"(x, A) of the n-step transition probabilities, we follow Tweedie [6] in using 1 the following form of irreducibility: there is a probcbility measure M on g for which M(A)>0 implies that G~(x,A)>O for all x~g, and M(A)=0 implies M{y: G~(y,A)>O}=O. We denote {A~,~: M(A)>0} by Y+; "almost all x" shall henceforth be with respect to this M. Tweedie [6] has proved the following solidarity result...

If JR is a ring, and G is a group of automorphisms of R, then R denotes the subring of R consisting of elements of R left fixed by every element of G, and is called the Galois subring corresponding to G. In his paper, Groups acting on hereditary rings, G. M. Bergman has asked if every Galois subring of a right Ore domain corresponding to a finite group is itself right Ore. In this note we show ...

The paper begins with an objection to the DesireBased Reasons Model. The argument from reason-based desires holds that since desires are based on reasons (first premise), which they transmit but to which they cannot add (second premise), they cannot themselves provide reasons for action. In the paper I investigate an attack that has recently been launched against the first premise of this argum...

*Correspondence: Sasha R. X. Dall, Centre for Ecology and Conservation, Biosciences, College of Life and Environmental Sciences, University of Exeter, Penryn Campus, Penryn TR10 9EZ, Exeter, UK e-mail: [email protected] The study of animal personality variation promises to provide significant new insight into the way that behavior evolves in animals, along with its ecological and evolutio...

Most non-economists would question whether economists know anything about culture. Indeed, given some faculty meetings I’ve been through, I imagine they might go so far as to say economists are uncultured. Although the second sentiment probably does go too far, there is certainly merit to the first. In particular, with a few exceptions (notably Kreps, 1990; Crémer, 1993; Lazear, 1995; Hodgson, ...