Subset currents on surfaces

نویسندگان

چکیده

Subset currents on hyperbolic groups were introduced by Kapovich and Nagnibeda as a generalization of geodesic groups, which Bonahon have been successfully studied in the case fundamental group π 1 ( Σ 0 encoding="application/x-tex">\mathbb {R}_{\geq 0} -bilinear functional

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hyperbolic structures on surfaces and geodesic currents

These are lecture notes for a course given by the authors during the program Automorphisms of Free Groups: Geometry, Topology, and Dynamics, held at the CRM (Barcelona) in 2012. The main objective of the notes is to describe Bonahon’s construction of Thurston’s compactification of Teichmüller space, in terms of geodesic currents on surfaces. In the final section, we present several extensions o...

متن کامل

Finite subset spaces of closed surfaces

The kth finite subset space of a topological space X is the space expkX of non-empty finite subsets of X of size at most k , topologised as a quotient of X . The construction is a homotopy functor and may be regarded as a union of configuration spaces of distinct unordered points in X . We show that the finite subset spaces of a connected 2–complex admit “lexicographic cell structures” based on...

متن کامل

Sparse Approximation of Currents for Statistics on Curves and Surfaces

Computing, processing, visualizing statistics on shapes like curves or surfaces is a real challenge with many applications ranging from medical image analysis to computational geometry. Modelling such geometrical primitives with currents avoids feature-based approach as well as point-correspondence method. This framework has been proved to be powerful to register brain surfaces or to measure ge...

متن کامل

Finite subset spaces of graphs and punctured surfaces

The kth finite subset space of a topological space X is the space expkX of non-empty finite subsets of X of size at most k , topologised as a quotient of X . The construction is a homotopy functor and may be regarded as a union of configuration spaces of distinct unordered points in X . We calculate the homology of the finite subset spaces of a connected graph Γ, and study the maps (expkφ)∗ ind...

متن کامل

dominating subset and representation graph on topological spaces

Let a topological space. An intersection graph on a topological space , which denoted by ‎ , is an undirected graph which whose vertices are open subsets of and two vertices are adjacent if the intersection of them are nonempty. In this paper, the relation between topological properties of  and graph properties of ‎  are investigated. Also some classifications and representations for the graph ...

متن کامل

ذخیره 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: Memoirs of the American Mathematical Society

سال: 2022

ISSN: ['1947-6221', '0065-9266']

DOI: https://doi.org/10.1090/memo/1368