The kinship of E. H. Moore and R. L. Moore

The Resonant Thought of G . E . Moore

Themes from G. E. Moore is a collection of sixteen new essays written by prominent contemporary philosophers. The essays explore a wide variety of themes arising from Moore's work in epistemology and ethics. The first eight essays in the collection are devoted to Moore's work in epistemology and include discussion of Moore's proof of an external world, skepticism, idealism, perceptual knowledge...

ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES

K. Borsuk in 1979, at the Topological Conference in Moscow, introduced concept of the capacity of a compactum and asked some questions concerning properties of the capacity ofcompacta. In this paper, we give partial positive answers to three of these questions in some cases. In fact, by describing spaces homotopy dominated by Moore and Eilenberg-MacLane spaces, the capacities of a Moore space $...

Co-H-structures on equivariant Moore spaces

Let G be a finite group, OG the category of canonical orbits of G and A : OG → Ab a contravariant functor to the category of abelian groups. We investigate the set of G-homotopy classes of comultiplications of a Moore G-space of type (A, n) where n ≥ 2 and prove that if such a Moore G-space X is a cogroup, then it has a unique comultiplication if dimX < 2n − 1. If dimX = 2n − 1, then the set of...

Underhill Moore

Applications of the Kleisli and Eilenberg-Moore 2-adjunctions

In 2010, J. Climent Vidal and J. Soliveres Tur developed, among other things, a pair of 2-adjunctions between the 2-category of adjunctions and the 2-category of monads. One is related to the Kleisli adjunction and the other to the Eilenberg-Moore adjunction for a given monad.Since any 2-adjunction induces certain natural isomorphisms of categories, these can be used to classify bijection...