نتایج جستجو برای: Submaximal space

تعداد نتایج: 498121  

‎A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense ea subsets is closed‎. ‎Here‎, ‎we study a variety of spaces some of which have already been studied in $C(X)$‎. ‎Among them are‎, ‎most importantly‎, ‎quasi $P$-spaces and pointwise quasi $P$-spaces‎. ‎We obtain some new useful topological characterizations of quasi $...

2007

We prove that any topological group of a non-measurable cardinality is hereditarily paracompact and strongly σ-discrete as soon as it is submaximal. Consequently, such a group is zero-dimensional. Examples of uncountable maximal separable spaces are constructed in ZFC. 0. Introduction. This paper has been motivated by several unsolved problems in general topology and topological algebra. The co...

Journal: :Filomat 2021

A space X is submaximal if any dense subset of open. In this paper, we prove that every topological gyrogroup non-measurable cardinality strongly ?-discrete. Moreover, hereditarily paracompact.

Journal: :European Journal of Pure and Applied Mathematics 2023

In this article, in a bigeneralized topological space, we introduce new space namely, (s, v)-bigeneralized submaximal and analyze its nature. Also, the characterization theorem for image preimage of v) is under (µ, η)-open, η)-continuous map, respectively are proved. Further, relationship between hyperconnected pairwise given.

2004
Guram Bezhanishvili Leo Esakia David Gabelaia Dick De Jongh

In this note we investigate modal logics of submaximal and nodec spaces when the modal diamond is interpreted as the closure operator of a topological space. We axiomatize the modal logic of nodec spaces. We show that the modal logic of submaximal spaces is a proper extension of the modal logic of nodec spaces, axiomatize it, and prove that it coincides with the modal logics of door spaces and ...

Journal: :Topology and its Applications 2022

We give a combinatorial characterization of countable submaximal subspaces 2κ. Using parametrized version Mathias forcing, we prove that there exists subspace 2ω1 whilst c=ω2. Combining this with previous results, construct disjointly tight irresolvable space weight <c, answering question Bella and Hrušák.

Journal: :Arch. Math. Log. 2010
Guram Bezhanishvili Patrick J. Morandi

When we interpret modal ♦ as the limit point operator of a topological space, the Gödel-Löb modal system GL defines the class Scat of scattered spaces. We give a partition of Scat into α-slices Sα , where α ranges over all ordinals. This provides topological completeness and definability results for extensions of GL. In particular, we axiomatize the modal logic of each ordinal α, thus obtaining...

Journal: :Honam Mathematical Journal 2010

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