搜索结果: 1-11 共查到“代数学 -metric”相关记录11条 . 查询时间(0.031 秒)
The Metric Completion of Outer Space
The Metric Completion Outer Space the Lipschitz metric homeomorphic
2012/3/1
We prove that the completion of Outer Space with the Lipschitz metric is homeomorphic to the free splitting complex. We give a new proof of a theorem by Francaviglia and Martino [FMa] that the isometr...
Injective hulls of certain discrete metric spaces and groups
Injective hulls certain discrete metric spaces and groups Group Theory
2011/9/23
Abstract: Injective metric spaces, or absolute 1-Lipschitz retracts, share a number of properties with CAT(0) spaces. Isbell showed that every metric space X has an injective hull E(X). We prove that ...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
Almost-isometry between Teichmüller metric and length-spectra metric on moduli space
Teichm¨uller metric length-spectra metric almost isometry
2011/1/19
We prove an analogue of Farb-Masur’s theorem that the lengthspectra metric on moduli space is “almost isometric” to a simple model V(S) which is induced by the cone metric over the complex of curves. ...
Subgroups of isometries of Urysohn-Katetov metric spaces of uncountable density
Subgroups of isometries of Urysohn-Katetov metric uncountable density
2011/1/18
According to Katˇetov (1988), for every infinite cardinal m satisfying m n ≤ m for all
n < m, there exists a unique m-homogeneous universal metric space Um of weight m.
Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes
gauge-invariant variables linear-order metric perturbations background spacetimes
2011/3/2
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...
Moving closer: contractive maps on discrete metric spaces and graphs
Moving closer discrete metric spaces and graphs
2010/11/23
We consider discrete metric spaces and we look for non-constant contractions. We introduce the notion of contractive map and we characterize the spaces with non-constant contractive maps. We provide s...
Automorphism group and ad-invariant metric on all six dimensional solvable real Lie algebras
Automorphism group ad-invariant metric all six dimensional solvable real Lie algebras
2010/11/30
Using adjoint representation of Lie algebras, we calculate the automorphism group and ad-invariant metric on six dimensional solvable real Lie algebras with 5, 4 and 3 dimensional nilradicals.
A General Fixed Point Theorem for Weakly Compatible Mappings in Compact Metric Spaces
compact metric space compatible mappings of type (A) compatible mappings of type (P) compatible mappings weakly compatible mappings implicit relation
2010/3/1
A general fixed point theorem for weakly compatible mappings satisfying an implicit relation in compact metric spaces is proved generalizing the results by [1],[3],[13],[14] and others.
The Compact Metric Space of the Lattice of Varieties and *-Varieties of C*-Algebras
Variety of Banach algebras H-variety Q-algebras IR-algebras
2010/2/26
Variety of Banach algebras is a non-empty class of Banach algebras in which there exist a family of laws such that all of its members satisfy all of the laws. In this paper, we have used merely mathem...
Common Fixed Point Theorems for Fuzzy Mappings in Quasi-Pseudo-Metric Spaces
Fuzzy mapping Fixed point Quasi-pseudo-metric Left K-sequentially complete Right K-sequentially complete
2010/2/26
In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-sequentially complete quasi-pseudo-metric spaces and right K-sequentially complete quasi-pseudo-metric s...