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- Ross Geoghegan, Jeffrey C. Lagarias, Robert C. Melville
- SIAM Journal on Optimization
- 1998

This paper studies continuation methods for nding isolated zeros of nonlinear functions.

- ROSS GEOGHEGAN, MICHAEL L. MIHALIK, MARK SAPIR
- 2007

This paper is about geometric and topological properties of a proper CAT(0) space X which is cocompact-i.e. which has a compact generating domain with respect to the full isometry group. It is shown that geodesic segments in X can " almost " be extended to geodesic rays. A basic ingredient of the proof of this geometric statement is the topological theorem… (More)

- Ross Geoghegan, Fernando Guzm´an
- 2005

Given a set S equipped with a binary operation (we call this a " bracket algebra ") one may ask to what extent the binary operation satisfies some of the consequences of the associative law even when it is not actually associative? We define a subgroup As-soc(S) of Thompson's Group F for each bracket algebra S, and we interpret the size of Assoc(S) as… (More)

- Ross Geoghegan
- 2005

In " zero-parameter " or classical Nielsen fixed point theory one studies Fix(f) := {x ∈ X | f (x) = x} where f : X → X is a map. In case X is an oriented compact manifold and f is transverse to the identity map, id X , Fix(f) is a finite set each of whose elements carries a natural sign, ±1, the index of that fixed point. The set Fix(f) is partitioned into… (More)

- Ross Geoghegan
- 1999

In this paper we introduce the \S 1 {Euler characteristic" of a nite S 1 {space, i.e. of a topological space X with a given circle action, where X is partitioned as an \S 1 {CW complex" into nitely many \S 1 {cells" (see x4). We deene the S 1 {Euler characteristic both geometrically and as an algebraic trace and show how it ts in to the broad picture of… (More)

- Ross Geoghegan
- 1996

The relationship between xed point theory and K {theory is explained, both classical Nielsen theory (versus K 0) and 1{parameter xed point theory (versus K 1). In particular, various zeta functions associated with suspension ows are shown to come in a natural way as \traces" of \torsions" of Whitehead and Reidemeister type.

- Ross Geoghegan
- 1998

- Ariadna Fossas i Tenas, R. J. Thompson, +4 authors Josep BURILLO
- 2012

Thèse dirigée par Louis FUNAR et Josep BURILLO préparée au sein de l'Institut Fourier (UMR 5582) et du Departament de Matemàtica Aplicada IV et desécoles doctorales ED MSTII et ED UPC Sur la g ´ eométrie et la combinatoire du groupe T de R. Lance toi, comme si tu n'avais pas peur. Aknowledgements I acknowledge funding from " La Fundació La Caixa en… (More)

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