Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Patrakeev, Mikhail"'
Autor:
Volkov, Aleksei, Patrakeev, Mikhail
We prove that if two subsets ${A}$ and ${B}$ of the plane are connected, ${A}$ is bounded, and the Euclidean distance $\rho({A},{B})$ between ${A}$ and ${B}$ is greater than zero, then for every positive $\varepsilon<\rho({A},{B})$, the sets ${A}$ an
Externí odkaz:
http://arxiv.org/abs/2403.20166
Autor:
Patrakeev, Mikhail, Smolin, Vlad
In [5] we studied spaces with a Lusin $\pi$-base and $\pi$-spaces and posed the following question: Does the class of continuous open images of spaces with a Lusin $\pi$-base equal the class of continuous open images of $\pi$-spaces? We give a negati
Externí odkaz:
http://arxiv.org/abs/2312.08686
Autor:
Patrakeev, Mikhail
We construct a formal theory, which we call reflectica, whose language possesses the following properties of natural language: it is a self-reflecting language and an intensional language. By a self-reflecting language we understand an interpreted la
Externí odkaz:
http://arxiv.org/abs/2302.09077
Autor:
Patrakeev, Mikhail, Smolin, Vlad
We study spaces that can be mapped onto the Baire space (i.e. the countable power of the countable discrete space) by a continuous quasi-open bijection. We give a characterization of such spaces in terms of Souslin schemes and call these spaces $\pi$
Externí odkaz:
http://arxiv.org/abs/2208.06288
The strength of gnomes lies in their coordinated action. Being small and subtle creatures themselves, the forest gnomes can form large swarms acting as one giant creature. This unusual defense strategy requires a lot of skill and training. Directing
Externí odkaz:
http://arxiv.org/abs/2112.07065
Autor:
Patrakeev, Mikhail, Smolin, Vlad
Publikováno v:
In Topology and its Applications 1 June 2024 350
Autor:
Patrakeev, Mikhail
We present a new method of proof, which we call reverse induction. This method allows to establish certain properties of a product $\prod_{{i}=0}^{\infty}{X}_{i}$ by making a kind of "reverse induction step" from $\prod_{{i}={n}+1}^{\infty}{X}_{i}$ t
Externí odkaz:
http://arxiv.org/abs/2004.10775
Chronofold is a replicated data structure for versioned text. It is designed for use in collaborative editors and revision control systems. Past models of this kind either retrofitted local linear orders to a distributed system (the OT approach) or e
Externí odkaz:
http://arxiv.org/abs/2002.09511
Autor:
Patrakeev, Mikhail
We construct a space ${X}$ that has a Lusin $\pi$-base and such that ${X}^{2}$ has no Lusin $\pi$-base.
Externí odkaz:
http://arxiv.org/abs/1812.03458
Autor:
Patrakeev, Mikhail, Smolin, Vlad
Publikováno v:
In Topology and its Applications 1 March 2023 326