8 citations · 16 across the 10 of their papers we have counts for
11 papers
Correction to: Finite approximations of -local compact groups
Alex Gonzalez, Bob Oliver
We point out some minor errors in a paper by the first author, and explain why they do not affect the main results in the paper.
Appendix to Discrete localities II: p-local compact groups as localities
Andrew Chermak, Alex Gonzalez
This appendix provides a connection between discrete localities and the p-local compact groups of Broto, Levi, and Oliver.
An extension theory for partial groups
Carles Broto, Alex Gonzalez
Partial groups are a natural generalization of discrete groups recently introduced by Chermak in connection with the theory of fusion systems. In this paper we develop an extension…
Discrete Localities I
Andy Chermak, Alex Gonzalez
This is part I of a three-part series of papers, whose aim is to develop a theory of discrete localities. These generalize the p-local compact groups of Broto, Levi, and Oliver.
Some new examples of simple -local compact groups
Alex Gonzalez, Toni Lozano, Albert Ruiz
In this paper we present new examples of simple -local compact groups for all odd primes. We also develop the necessary tools to show saturation, simpleness and the non-realizab…
Euler characteristic for weak n-categories and -categories
Alex Gonzalez, Gabe Necoechea, Andrew Stratmann
The Euler characteristic was defined for finite strict n-categories by Leinster using the theory of enriched categories. This was an extension of some of his earlier work, which de…
Automorphisms of -local compact groups
Alex Gonzalez, Ran Levi
Self equivalences of classifying spaces of -local compact groups are well understood by means of the algebraic structure that gives rise to them, but explicit descriptions are l…
An extension theory for partial groups and localities
Alex Gonzalez
A partial group is a generalization of the concept of group recently introduced by A. Chermak. By considering partial groups as simplicial sets, we propose an extension theory for…
Finite approximations of -local compact groups
Alex Gonzalez
We show that the classifying space of a -local compact group is approximated by a telescope of classifying spaces of -local finite groups. This result has numerous implicatio…
Irreducible -local compact groups I. The structure of -local compact groups of rank
Alex Gonzalez
Let be a fixed prime number. The main purpose of this paper is to introduce the notion of \textit{irreducible} -local compact group, which provides a first reduction towards…
Unstable Adams operations acting on -local compact groups and fixed points
Alex Gonzalez
We prove in this paper that every -local compact group is approximated by transporter systems over finite -groups. To do so, we use unstable Adams operations acting on a give…