Zobrazeno 1 - 10
of 14 224
pro vyhledávání: '"General topology"'
Autor:
Pozzan, Elena, Viale, Matteo
We present a contravariant adjunction between compact $T_1$-spaces and a class of distributive lattices which recomprises key portions of Stone's duality and of Isbell's duality among its instantiations. This brings us to focus on $T_1$-spaces, rathe
Externí odkaz:
http://arxiv.org/abs/2411.13482
Let $X$ be an uncountable Polish space and let $\mathcal{I}$ be an ideal on $\omega$. A point $\eta \in X$ is an $\mathcal{I}$-limit point of a sequence $(x_n)$ taking values in $X$ if there exists a subsequence $(x_{k_n})$ convergent to $\eta$ such
Externí odkaz:
http://arxiv.org/abs/2411.10866
Autor:
Nasehpour, Peyman
In this paper, we prove prime avoidance for ringoids. We also generalize McCoy's and Davis' prime avoidance theorems in the context of semiring theory. Next, we proceed to define and characterize compactly packed semirings and show that a commutative
Externí odkaz:
http://arxiv.org/abs/2411.10725
Autor:
Avilés, Antonio, Krupski, Mikołaj
We prove that every Lindel\"of scattered subspace of a $\Sigma$-product of first-countable spaces is $\sigma$-compact. In particular, we obtain the result stated in the title. This answers some questions of Tkachuk from [Houston J. Math. 48 (2022), n
Externí odkaz:
http://arxiv.org/abs/2411.10035
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:
Bouhsine, Taha
We introduce a yat-product-powered neural network, the Neural Matter Network (NMN), a breakthrough in deep learning that achieves non-linear pattern recognition without activation functions. Our key innovation relies on the yat-product and yat-produc
Externí odkaz:
http://arxiv.org/abs/2411.08085
Autor:
Decker, Bryce, Dalaklis, Nathan
We assign every metric space $X$ the value $t_{D}HD(X)$, an ordinal number or one of the symbols $-1$ or $\Omega$, and we call it the $D$-variant of transfinite Hausdorff dimension of $X$. This ordinal assignment is primarily constructed by way of th
Externí odkaz:
http://arxiv.org/abs/2411.07454
Autor:
Farjudian, Amin, Jung, Achim
We introduce a continuous domain for function spaces over topological spaces which are not core-compact. Notable examples of such topological spaces include the real line with the upper limit topology, which is used in solution of initial value probl
Externí odkaz:
http://arxiv.org/abs/2411.07431
We provide a complete characterization of the solvability/impossibility of deterministic stabilizing consensus in any computing model with benign process and communication faults using point-set topology. Relying on the topologies for infinite execut
Externí odkaz:
http://arxiv.org/abs/2411.07106
Autor:
Macías, Jhixon
In this paper, we study some properties of self-homeomorphisms on the Mac\'ias topology over $\mathbb{N}$, and we demonstrate that this space is not topologically rigid.
Externí odkaz:
http://arxiv.org/abs/2411.06661