Add to ORKGAbstract. First, we introduce sequential convergence structures and characterize Fréchet spaces and continuous functions in Fréchet spaces using these structures. Second, we give sufficient conditions for the expansion of a topological space by the sequential closure operator to be a Fréchet space and also a sufficient condition for a simple expansion of a topological space to be Fréchet. Finally, we study on a sufficient condition that a sequential space be Fréchet, a weakly first countable space be first countable, and a symmetrizable space be semi-metrizable
AbstractWe give a simple example of a Fréchet space and a metrizable space whose product is not sequ...
summary:Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also str...
In the realm of semiuniform convergence spaces first countability is divisible and leads to a well-b...
Abstract. First, we introduce sequential convergence structures and characterize Fréchet spaces and ...
The class of sequential spaces and its successive smaller subclasses, the Fréchet spaces and the fir...
The class of sequential spaces and its successive smaller subclasses, the Fréchet spaces and the fir...
summary:Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also str...
Summary. This article contains a definition of three classes of topological spaces: first-countable,...
Summary. This article contains a definition of three classes of topological spaces: first-countable,...
AbstractWe construct, assuming the continuum hypothesis (CH), two (strongly) Fréchet spaces whose pr...
summary:The problem of Y. Tanaka [10] of characterizing the topologies whose products with each fir...
Abstract. Topological sequential spaces are the xed points of a Galois corre-spondence between colle...
summary:The problem of Y. Tanaka [10] of characterizing the topologies whose products with each fir...
In the literature, \(\mathcal{I}\)-convergence (or convergence in \(\mathcal{I}\)) was first introdu...
summary:The problem of Y. Tanaka [10] of characterizing the topologies whose products with each fir...
AbstractWe give a simple example of a Fréchet space and a metrizable space whose product is not sequ...
summary:Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also str...
In the realm of semiuniform convergence spaces first countability is divisible and leads to a well-b...
Abstract. First, we introduce sequential convergence structures and characterize Fréchet spaces and ...
The class of sequential spaces and its successive smaller subclasses, the Fréchet spaces and the fir...
The class of sequential spaces and its successive smaller subclasses, the Fréchet spaces and the fir...
summary:Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also str...
Summary. This article contains a definition of three classes of topological spaces: first-countable,...
Summary. This article contains a definition of three classes of topological spaces: first-countable,...
AbstractWe construct, assuming the continuum hypothesis (CH), two (strongly) Fréchet spaces whose pr...
summary:The problem of Y. Tanaka [10] of characterizing the topologies whose products with each fir...
Abstract. Topological sequential spaces are the xed points of a Galois corre-spondence between colle...
summary:The problem of Y. Tanaka [10] of characterizing the topologies whose products with each fir...
In the literature, \(\mathcal{I}\)-convergence (or convergence in \(\mathcal{I}\)) was first introdu...
summary:The problem of Y. Tanaka [10] of characterizing the topologies whose products with each fir...
AbstractWe give a simple example of a Fréchet space and a metrizable space whose product is not sequ...
summary:Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also str...
In the realm of semiuniform convergence spaces first countability is divisible and leads to a well-b...