Mikołaj Krupski

most citedTopological dimension of a space is determined by the pointwise topology of its function space

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.GN2024

Every Lindelöf scattered subspace of a $Σ$ -product of real lines is $σ$ -compact

Antonio Avilés, Mikołaj Krupski

We prove that every Lindelöf scattered subspace of a $Σ$ -product of first-countable spaces is $σ$ -compact. In particular, we obtain the result stated in the title. This answers som…

math.GN2024

Characterizing function spaces which have the property (B) of Banakh

Mikołaj Krupski, Kacper Kucharski, Witold Marciszewski

A topological space $Y$ has the property (B) of Banakh if there is a countable family ${A_{n} : n \in N}$ of closed nowhere dense subsets of $Y$ absorbing all compact subsets…

math.GN2014★ 1 cited

Topological dimension of a space is determined by the pointwise topology of its function space

Mikołaj Krupski

This paper has been withdrawn by the author

Every Lindelöf scattered subspace of a Σ-product of real lines is σ-compact

Characterizing function spaces which have the property (B) of Banakh

Topological dimension of a space is determined by the pointwise topology of its function space

Every Lindelöf scattered subspace of a $Σ$ -product of real lines is $σ$ -compact