The first section of this paper defines and studies a graded ring K . F associated to any field F. By definition, K~F is the target group of the universal n-linear function from F ~ x ... â€¢ F ~ to anâ€¦ (More)

In 1935, Reidemeister, Franz and de Rham introduced the concept of "torsion" for certain finite simplicial complexes. For example let X be a finite complex whose fundamental group TTIX is cyclic ofâ€¦ (More)

Define the growth function Î³ associated with a finitely generated group and a specified choice of generators {gl7 -, gp} for the group as follows (compare [9]). For each positive integer s let Î³(s)â€¦ (More)

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, inâ€¦ (More)

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology andâ€¦ (More)

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology andâ€¦ (More)

A presentation of some fundamental results from the Douady-Hubbard theory of the Mandelbrot set, based on the idea of " orbit portrait " : the pattern of external rays landing on a periodic orbit forâ€¦ (More)

Proof. First consider the following example of the Conner-Floyd theorem. Let H,,,,,(C) denote a non-singular hypersurface of degree (1,l) in the product P,,,(C) x P.(C). b terms of homogeneousâ€¦ (More)