Pseudogroups ofC1piecewise projective homeomorphisms
نویسندگان
چکیده
منابع مشابه
Groups of piecewise projective homeomorphisms
I 1924, Banach and Tarski (1) accomplished a rather paradoxical feat. They proved that a solid ball can be decomposed into five pieces, which are then moved around and reassembled in such a way as to obtain two balls identical to the original one (1). This wellnigh miraculous duplication was based on Hausdorff’s (2) 1914 work. In his 1929 study of the Hausdorff–Banach–Tarski paradox, von Neuman...
متن کاملA Nonamenable Finitely Presented Group of Piecewise Projective Homeomorphisms
In this article we will describe a finitely presented subgroup of the group of piecewise projective homeomorphisms of the real projective line. This in particular provides a new example of a finitely presented group which is nonamenable and yet does not contain a nonabelian free subgroup. It is in fact the first such example which is torsion free. We will also develop a means for representing t...
متن کاملPseudogroups and Their Étale Groupoids
A pseudogroup is a complete infinitely distributive inverse monoid. Such inverse monoids bear the same relationship to classical pseudogroups of transformations as frames do to topological spaces. The goal of this paper is to develop the theory of pseudogroups motivated by applications to group theory, C∗-algebras and aperiodic tilings. Our starting point is an adjunction between a category of ...
متن کاملCartan Structure of Infinite Lie Pseudogroups
Since Chevalley’s seminal work [12], the definition of Lie group has been universally agreed. Namely, a Lie group G is an analytic manifold G on which is defined an analytic group operation ∗ with analytic inverse. The historical evolution of this definition was not direct. In the 1870s when Lie began his work on “continuous groups of transformations”, the notion of abstract group was in its in...
متن کاملUnstable Homeomorphisms
Let M be a metric space and let 4>(M) = M be a homeomorphism. 0(m) = X^d^w) is called the orW of m^M under «2> • ■ • (»i<m2...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1987
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1987.129.67