Results 61 to 70 of about 307 (168)

Hausdorff dimensions of irreducible Markov hom tree‐shifts

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban, Guan‐Yu Lai, Yu‐Liang Wu   +2 more
wiley   +1 more source

Metrizations of Projective Spaces [PDF]

Proceedings of the American Mathematical Society, 1957
A two-dimensional G-space,1 in which the geodesic through two distinct points is unique, is either homeomorphic to the plane E2 and all geodesics are isometric to a straight line, or it is homeomorphic to the projective plane p2 and all geodesics are isometric to the same circle, see [1, ??10 and 31]. Two problems arise in either case: (1) To determine
openaire   +1 more source

Metrizability of Adjunction Spaces [PDF]

Proceedings of the American Mathematical Society, 1970
In a recent conversation with E. A. Michael and D. Hyman the following natural question was raised: Are the M-spaces of Hyman (see Definition 3.1) metrizable whenever they are first countable? We will answer this question affirmatively. Indeed, we will prove the somewhat stronger result that the M-spaces of Hyman are metrizable whenever they are of ...
openaire   +2 more sources

Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
wiley   +1 more source

Affine analogues of the Sasaki-Shchepetilov connection

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume element vol one can construct a flat connection on the vector bundle TM⊕E, where E is a trivial bundle.
Maria Robaszewska
doaj   +1 more source

Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
wiley   +1 more source

Range-preserving AE(0)-spaces

Applied General Topology, 2013
All spaces here are Tychonoff spaces. The class AE(0) consists of those spaces which are absolute extensors for compact zero-dimensional spaces. We define and study here the subclass AE(0)rp, consisting of those spaces for which extensions of continuous ...
W.W. Comfort, A.W. Hager
doaj   +1 more source

Metrizability of General ANR [PDF]

Proceedings of the American Mathematical Society, 1986
We show that every nonmetrizable ANR( P ) {\text {ANR(}}\mathcal {P}{\text {)}} contains a copy of a Tychonoff cube of uncountable weight. Hence, every finite dimensional ANR( P )
openaire   +1 more source

Compactly convex sets in linear topological spaces [PDF]

Математичні Студії, 2012
A convex subset $X$ of a~linear topological space is called{em compactly convex} if there is a~continuous compact-valuedmap $Phicolon Xoexp(X)$ such that$[x,y]subsetPhi(x)cupPhi(y)$ for all $x,yin X$.
T. Banakh, M. Mitrofanov, O. Ravsky
doaj  

Non-metrizable manifolds and contractibility

Applied General Topology
We investigate whether non-metrizable manifolds in various classes can be homotopy equivalent to a CW-complex (in short: heCWc), and in particular contractible.
Mathieu Baillif
doaj   +1 more source