A prodiscrete group is usually taken to be a topological group G isomorphic to the limit of a
filtered projective system {G;} of discrete groups. Even if all the homomorphisms G;~ Gj in the …

This chapter starts with the notion of a sheaf F on a topological space X. Such a sheaf is a
way of describing a class of functions on X- especially classes of “good” functions, such as the …

We dedicate this book to the memory of J. Frank Adams. His clear insights have inspired many
mathematicians, including both of us. In January 1989, when the first draft of our book had …

This book gives a quick introduction to the theory of foliations, Lie groupoids and Lie
algebroids. An important feature is the emphasis on the interplay between these concepts: Lie …

The aim of this book is to construct categories of spaces which contain all the C?-manifolds,
but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques …

Axiomatic homotopy theory for operads Page 1 Comment. Math. Helv. 78 (2003) 805–831
0010-2571/03/040805-27 DOI 10.1007/s00014-003-0772-y c© 2003 Birkhäuser Verlag, Basel …

arXiv:math/0203100v1 [math.DG] 11 Mar 2002 Page 1 arXiv:math/0203100v1 [math.DG] 11
Mar 2002 Orbifolds as Groupoids: an Introduction Ieke Moerdijk Contents 1 Lie groupoids 2 2 …

Orbifolds, Sheaves and Groupoids Page 1 K-Theory 12: 3–21, 1997. 3 c 1997 Kluwer Academic
Publishers. Printed in the Netherlands. Orbifolds, Sheaves and Groupoids Dedicated to the …

This book offers a new algebraic approach to set theory. The authors introduce a particular
kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of …

We introduce the concept of a dendroidal set. This is a generalization of the notion of a simplicial
set, specially suited to the study of (coloured) operads in the context of homotopy theory…