Zobrazeno 1 - 10
of 86
pro vyhledávání: '"54b35"'
Autor:
Goswami, Amartya
The aim of this note is to prove that the set of proper normal subgroups of a group endowed with coarse lower topology is a spectral space.
Externí odkaz:
http://arxiv.org/abs/2501.00845
Autor:
Goswami, Amartya
We consider some distinguished classes of elements of a multiplicative lattice endowed with coarse lower topologies, and call them lower spaces. The primary objective of this paper is to study the topological properties of these lower spaces, encompa
Externí odkaz:
http://arxiv.org/abs/2407.04665
Autor:
Bezhanishvili, Guram, Madden, James, Moshier, M. Andrew, Tressl, Marcus, Walters-Wayland, Joanne
We investigate whether the set of subfit elements of a distributive semilattice is an ideal. This question was raised by the second author at the BLAST conference in 2022. We show that in general it has a negative solution, however if the semilattice
Externí odkaz:
http://arxiv.org/abs/2404.06071
Autor:
Goswami, Amartya
As a natural extension of the ongoing development of a theory of ideals in commutative quantales with an identity element, this article aims to study into the analysis of certain topological properties exhibited by distinguished classes of ideals. Th
Externí odkaz:
http://arxiv.org/abs/2308.06395
Autor:
Ludkovski, Sergey Victor
This article is devoted to investigations of a structure and homomorphisms of microbundles. Microbundles are generalizations of manifolds. For manifolds it was studied when their families of homomorphism can be supplied with the manifold structure. B
Externí odkaz:
http://arxiv.org/abs/2303.09526
Autor:
Juhász, István, Van Mill, Jan
The set $dd(X)$ of densities of all dense subspaces of a topological space $X$ is called the double density spectrum of $X$. In this note we present a couple of results that imply $\lambda \in dd(X)$, provided that $X$ is a compact space and $\lambda
Externí odkaz:
http://arxiv.org/abs/2302.02348
It is an interesting, maybe surprising, fact that different dense subspaces of even "nice" topological spaces can have different densities. So, our aim here is to investigate the set of densities of all dense subspaces of a topological space $X$ that
Externí odkaz:
http://arxiv.org/abs/2109.10823
Publikováno v:
Topology and its Applications 315(2022) 108140
Cell structures were introduced by W. Debski and E. Tymchatyn as a way to study some classes of topological spaces and their continuous functions by means of discrete approximations. In this work we weaken the notion of cell structure and prove that
Externí odkaz:
http://arxiv.org/abs/2102.07905
Autor:
Manuell, Graham
Publikováno v:
Math. Proc. Cambridge Philos. Soc. 173(3), 647--668 (2022)
A number of spectrum constructions have been devised to extract topological spaces from algebraic data. Prominent examples include the Zariski spectrum of a commutative ring, the Stone spectrum of a bounded distributive lattice, the Gelfand spectrum
Externí odkaz:
http://arxiv.org/abs/2006.01905
Autor:
Tarizadeh, Abolfazl, Aghajani, Mohsen
In this paper, new algebraic and topological results on purely-prime ideals of a commutative ring (pure spectrum) are obtained. Especially, Grothendieck type theorem is obtained which states that there is a canonical correspondence between the idempo
Externí odkaz:
http://arxiv.org/abs/2001.04823