Nur Alam's user avatar
Nur Alam's user avatar
Nur Alam's user avatar
Nur Alam
  • Member for 3 years, 5 months
  • Last seen more than a month ago
7 votes
0 answers
224 views

Does there exist a complete metric space which is Rothberger (or Menger) but not Hurewicz?

6 votes
1 answer
251 views

A ZFC example of a Menger space which is not Scheepers

3 votes
1 answer
153 views

Is there any class of ideals for which $\mathfrak{b}(\mathcal I)\neq\mathfrak{b}$?

3 votes
1 answer
127 views

Characterization of the Scheepers property by Scheepers game

3 votes
0 answers
82 views

Does there exist a regular $P$-space which is strongly star-Lindelof but not star-Menger?

2 votes
1 answer
236 views

Give an example of a star-Menger space which is not star-$K$-Menger

2 votes
1 answer
154 views

Is $\mathbb R$ with cocountable topology star-$K$-compact?

1 vote
1 answer
147 views

Does there exist a star-Lindelöf space which is not DCCC?

1 vote
0 answers
83 views

Terminology for the property: "Each uncountable disjoint open family is locally countable"

1 vote
1 answer
249 views

Does there exist a $\sigma$-compact complete metric space which is not locally compact? [closed]

1 vote
1 answer
112 views

Does there exist a starcompact space which is not star-$K$-compact?

1 vote
1 answer
151 views

Is the Isbell–Mrówka space $\Psi(\mathcal A)$ with $\lvert\mathcal A\rvert=\omega_1$ starcompact?

1 vote
1 answer
79 views

Does there exist a strongly star-Lindelöf space which is not DCCC?

1 vote
0 answers
67 views

A ZFC example of a star-$K$-Menger space which is not star-$K$-Hurewicz

0 votes
2 answers
191 views

Give an example of a Rothberger space $X$ which has a Lindelöf subspace $Y$ that is not Rothberger

0 votes
1 answer
150 views

Does there exist a star-Lindelöf space which is not star-$L$-Lindelöf?

0 votes
1 answer
166 views

What does mean by "$\omega +1$ is convergent sequence"? [closed]