Results 121 to 130 of about 93,950 (215)
Explicit geodesics in Gromov-Hausdorff space
Electronic Research Announcements, 2018 We provide an alternative, constructive proof that the collection $\mathcal{M}$ of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance is a geodesic space. The core of our proof is a construction of explicit geodesics on $\mathcal{M}$. We also provide several interesting examples of geodesics on $\mathcal{M}$, including
Chowdhury, Samir, Mémoli, Facundo
openaire +4 more sources
On the exceptional set in Littlewood's discrete conjecture
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
wiley +1 more source
Fourier analytic properties of Kakeya sets in finite fields
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove that a Kakeya set in a vector space over a finite field of size q$q$ always supports a probability measure, whose Fourier transform is bounded by q−1$q^{-1}$ for all non‐zero frequencies. We show that this bound is sharp in all dimensions at least 2.
Jonathan M. Fraser
wiley +1 more source
On cohomology of locally profinite sets
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
wiley +1 more source
A description of the Stone space of Banach lattice C(K,E)
Journal of Function Spaces and Applications, 2006 We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.
Zafer Ercan
doaj +1 more source
Topology and its Applications, 1992 The author's introduction: ``Until about 1950 it seemed that, with few exceptions, topologists had a theorem which said ``all spaces are Hausdorff''. Early examples of the study of non-Hausdorff spaces are provided by the Sierpinski space, \textit{P. Alexandroff's} ``diskrete Räume'' [Mat. Sb. = Rec. Math. Moscou, N.S. 2, 501-518 (1937; Zbl 0018.09105)]
openaire +2 more sources
Minimal sequential Hausdorff spaces
International Journal of Mathematics and Mathematical Sciences, 2004 A sequential space (X, T) is called minimal sequential if no sequential topology on X is strictly weaker than T. This paper begins the study of minimal sequential Hausdorff spaces. Characterizations of minimal sequential Hausdorff spaces are obtained using filter bases, sequences, and functions satisfying certain graph conditions.
openaire +2 more sources
On non-separable components of hyperspaces with the Hausdorff metric [PDF]
Математичні Студії, 2011 Let $(X,d)$ be a connected non compact metric space. Suppose the metric$d$ convex and such that every closed bounded subset of $X$ is compact. Let $F(X)$ bethe space of nonvoid closed subsets of $X$ with the Hausdorff distance associated to $d$.We prove ...
R. Cauty
doaj
Connected Mappings of Hausdorff Spaces [PDF]
Proceedings of the American Mathematical Society, 1958 Pervin, William J., Levine, Norman
openaire +1 more source
Maximal connected Hausdorff spaces [PDF]
Pacific Journal of Mathematics, 1975 openaire +3 more sources