A sequential space is a topological space whose topology can be completely characterized by its convergent/divergent sequences. Sequential closure/interior · Sequential spaces and...

21 нояб. 2023 г. · A topological space is sequential if (in a certain sense) you can do topology in it using only sequences instead of more general nets.

21 июн. 2010 г. · Every quotient space of a first countable space is a sequential space. Every quotient space of a Frechet space is a sequential space. Theorem 4

2 янв. 2013 г. · Sequential space: A topological space X where a set A⊆X is closed iff A contains the limit points of every sequence contained in it. As the ... Why is the sequential closure not sequentially closed? Why closed implies sequentially closed but not the converse? Sequential properties of topological spaces Is a space first countable if and only if continuity and sequential ... Другие результаты с сайта math.stackexchange.com

In functional analysis and related areas of mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers ... Space of all sequences · Space of all finite sequences

In this paper a new notion of topological spaces namely, I-sequential topo- logical spaces is introduced and investigated. This new space is a strictly weaker.

23 июн. 2010 г. · Sequential spaces are topological spaces in which convergent sequences are sufficient to define the topology. In any topological space ...

INTRODUTION. Sequential spaces are topological spaces in which sequentially open sets are open (or equivalently, sequentially closed sets are closed).

11 мая 2008 г. · History. Origin. The notion of sequential space was introduced by S. P. Franklin in 1965. Definition. Symbol-free definition.

12 авг. 2010 г. · "Sequential" allows iteration of this: Take the set of limits of sequences of points in A; then take limits of sequences of such points; then ... Sequential topological vector spaces - MathOverflow Characterization of Fréchet-Urysohn spaces using sequential ... Другие результаты с сайта mathoverflow.net