Classifying matchbox manifolds
نویسندگان
چکیده
منابع مشابه
Classifying Matchbox Manifolds
Matchbox manifolds are foliated spaces whose transversal spaces are totally disconnected. In this work, we show that the local dynamics of a certain class of minimal matchbox manifolds classify their total space, up to homeomorphism. A key point is the use Alexandroff’s notion of a Y –like continuum, where Y is an aspherical closed manifold which satisfies the Borel Conjecture. In particular, w...
متن کاملShape of Matchbox Manifolds
In this work, we develop shape expansions of minimal matchbox manifolds without holonomy, in terms of branched manifolds formed from their leaves. Our approach is based on the method of coding the holonomy groups for the foliated spaces, to define leafwise regions which are transversely stable and are adapted to the foliation dynamics. Approximations are obtained by collapsing appropriately cho...
متن کاملVoronoi Tessellations for Matchbox Manifolds
Matchbox manifolds M are a special class of foliated spaces, which include as special examples the weak solenoids, suspensions of odometer and Toeplitz actions, and tiling spaces associated to aperiodic tilings with finite local complexity. They have many properties analogous to those of a compact manifold, but the additional data inherently encoded in the pseudogroup dynamics of its foliation ...
متن کاملClassifying Foliations of 3-manifolds via Branched Surfaces
We use branched surfaces to define an equivalence relation on C1 codimension one foliations of any closed orientable 3-manifold that are transverse to some fixed nonsingular flow. There is a discrete metric on the set of equivalence classes with the property that foliations that are sufficiently close (up to equivalence) share important topological properties. ____________________ Date: January...
متن کاملMatchbox: Window Management Not for the Desktop
Matchbox is a set of X11 utilities for managing applications. Matchbox is intended primarily for use on embedded X Window System devices with low display resolution, limited available input mechanisms, limited available storage and/or slow CPUs. The core of Matchbox is an X window manager which aims to ameliorate shortcomings of existing desktop window managers on constrained platforms. Matchbo...
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: Geometry & Topology
سال: 2019
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2019.23.1