S. Onal

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20162022

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math.GN2022

A weakly Lindelöf space which does not have the property $^{*} U_{f in} (O, O)$

Servet Soyarslan, Süleyman Önal

We show that there exists a Tychono? weakly Lindelöf space which does not have the property $^{*} U_{f in} (O, O)$ . This result answers the following open q…

math.GN2022

Noetherian $π$ -bases and Telgársky's Conjecture

Servet Soyarslan, Süleyman Önal

We investigate Noetherian families and show that every topological space has a Noetherian $π$ -base. We prove that if a topological space has some special Noetherian $π$ -bases, then…

math.GN2021

A solution of a problem about Erdös Space

Süleyman Önal, Servet Soyarslan

For Erdős space, $E$ , let us define a topology, $τ_{c l o p e n}$ , which is generated by clopen subsets of $E$ . A. V. Arhangel'skii and J. Van Mill asked whether t…

A weakly Lindelöf space which does not have the property ∗Ufin​(O,O)

Noetherian π-bases and Telgársky's Conjecture

A solution of a problem about Erdös Space

A weakly Lindelöf space which does not have the property $^{*} U_{f in} (O, O)$

Noetherian $π$ -bases and Telgársky's Conjecture