Recognition of Finite Bitopological Spaces with Unique Isolated Point by Devi Selvam, Sivaramakrishnan Monikandan

“…The {deck} of a bitopological space $(X, \tau_{1}, \tau_{2})$ is the set $\mathscr{D}(X)=\{[X_{x}]:x\in X\},$ where $[Z]$ denotes the pair-homeomorphism class of $Z$. …”
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Separation ratios of maps between Banach spaces by Rosendal, Christian

“…Under the weak assumption on a Banach space $E$ that $E\oplus E$ embeds isomorphically into $E$, we provide a characterisation of when a Banach space $X$ coarsely embeds into $E$ via a single numerical invariant.…”
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Fuzzy Normed Linear Spaces Generated By Linear Functionals by Ali Reza Khoddami, Fatemeh Kouhsari

“…For a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. …”
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Generalized Grand Lebesgue Spaces Associated to Banach Function spaces by Alireza Bagheri Salec, Seyyed Mohammad Tabatabaie, Alaa Mahdi Talib Albeka

“…In this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces. …”
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Measurable Vizing’s theorem by Jan Grebík

“…We prove a full measurable version of Vizing’s theorem for bounded degree Borel graphs, that is, we show that every Borel graph $\mathcal {G}$ of degree uniformly bounded by $\Delta \in \mathbb {N}$ defined on a standard probability space $(X,\mu )$ admits a $\mu $ -measurable proper edge coloring with $(\Delta +1)$ -many colors. …”
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On Bousfield’s conjectures for the unstable Adams spectral sequence for $SO$ and $U$ by Nguyễn, Thế Cường

“…The unstable Adams spectral sequence is a spectral sequence that starts from algebraic information about the mod $2 $ cohomology $H ^{ * } \left(X \right) $ of a space $X $ as an unstable algebra over the Steenrod algebra $\mathcal{A}$, and converges, in good cases, to the $2 $-localized homotopy groups of $X $. …”
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Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker–Planck equation by Alabau-Boussouira, Fatiha, Cannarsa, Piermarco, Urbani, Cristina

“…We study the exact controllability of the evolution equation \begin{equation*} u^{\prime }(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where $A$ is a nonnegative self-adjoint operator on a Hilbert space $X$ and $B$ is an unbounded linear operator on $X$, which is dominated by the square root of $A$. …”
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Виклики і розвиток авіоніки: система переривання польоту by Валерій Мазуренко

“…Потім вимоги безпеки були змінені на основі теорії управління ризиками, що дозволило Space X розробити революційну нову систему FTS, яка є автономною, автоматичною, надійною та використовує два незалежні канали для прийняття рішення про припинення польоту. …”
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On the Scottish Book Problem 155 by Mazur and Sternbach by Mori, Michiya

“…Problem 155 of the Scottish Book asks whether every bijection $U\colon X\rightarrow Y$ between two Banach spaces $X, Y$ with the property that, each point of $X$ has a neighborhood on which $U$ is isometric, is globally isometric on $X$. …”
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