Zobrazeno 1 - 10
of 166
pro vyhledávání: '"54b15"'
Autor:
Mondéjar, Diego
We show that the Hausdorff reflection preserves the shape type of spaces. Some examples as well as the applicability in inverse limits of finite spaces are presented.
Externí odkaz:
http://arxiv.org/abs/2412.06942
Autor:
Chirvasitu, Alexandru
Consider a proper action of $\mathbb{Z}^d$ on a smooth (perhaps non-paracompact) manifold $M$. The $p^{th}$ cohomology $H^p(\mathbb{Z}^d,\ \Gamma_{\mathrm{c}}(\mathcal{F}))$ valued in the space of compactly-supported sections of a natural sheaf $\mat
Externí odkaz:
http://arxiv.org/abs/2411.09857
Autor:
Chirvasitu, Alexandru
A classical branched cover is an open surjection of compact Hausdorff spaces with uniformly bounded finite fibers and analogously, a quantum branched cover is a unital $C^*$ embedding admitting a finite-index expectation. We show that whenever a comp
Externí odkaz:
http://arxiv.org/abs/2409.17807
Autor:
Lin, Fucai, Qi, Xixi
A semitopological group $G$ is called {\it an $n$-semitopological group}, if for any $g\in G$ with $e\not\in\overline{\{g\}}$ there is a neighborhood $W$ of $e$ such that $g\not\in W^{n}$, where $n\in\mathbb{N}$. The class of $n$-semitopological grou
Externí odkaz:
http://arxiv.org/abs/2406.06927
Autor:
Bandt, Christoph, Barnsley, Michael F.
For self-similar sets, there are two important separation properties: the open set condition and the weak separation condition introduced by Zerner, which may be replaced by the formally stronger finite type property of Ngai and Wang. We show that an
Externí odkaz:
http://arxiv.org/abs/2404.04892
Autor:
Patel, Anurag Kumar
In this paper, we prove that the null space of a weighted composition operator on $\ell_p~ (1 \leq p < \infty)$ is a complemented subspace. We also give a necessary and sufficient condition for a weighted composition operator on $\ell_p$ whose range
Externí odkaz:
http://arxiv.org/abs/2402.08972
Autor:
Bandt, Christoph
Publikováno v:
Communications in Mathematics, Volume 33 (2025), Issue 2 (Special issue: Numeration, Liège 2023, dedicated to the 75th birthday of professor Christiane Frougny) (June 17, 2024) cm:12647
Finite automata were used to determine multiple addresses in number systems and to find topological properties of self-affine tiles and finite type fractals. We join these two lines of research by axiomatically defining automata which generate topolo
Externí odkaz:
http://arxiv.org/abs/2312.01486
In this paper, we study the uniformities on the double coset spaces in topological groups. As an implication, the quotient spaces of topological groups with a $q$-point are studied. It mainly shows that: (1) Suppose that $G$ is a topological group wi
Externí odkaz:
http://arxiv.org/abs/2311.08814
Autor:
Fujita, Masato
We consider d-minimal expansions of ordered fields. We demonstrate the existence of definable quotients of definable sets by definable equivalence relations when several technical conditions are satisfied. These conditions are satisfied when there is
Externí odkaz:
http://arxiv.org/abs/2311.08699
A central role in topological dimension theory is played by Lipscomb's space $J_{A}$ since it is a universal space for metric spaces of weight $|A|\geq \aleph _{0}$. On the one hand, Lipscomb's space is the attractor of a possibly infinite iterated f
Externí odkaz:
http://arxiv.org/abs/2309.11102