5 citations · 8 across the 3 of their papers we have counts for
3 papers
math.GM2020
Some properties related to the Cantor-Bendixson derivative on a Polish space
Borys Álvarez-Samaniego, Andrés Merino
We show a necessary and sufficient condition for any ordinal number to be a Polish space. We also prove that for each countable Polish space, there exists a countable ordinal numbe…
math.GN2018★ 3 cited
Countable ordinal spaces and compact countable subsets of a metric space
Borys Álvarez-Samaniego, Andrés Merino
We show in detail that every compact countable subset of a metric space is homeomorphic to a countable ordinal number, which extends a result given by Mazurkiewicz and Sierpinski f…
math.GN2016★ 5 cited
A primitive associated to the Cantor-Bendixson derivative on the real line
Borys Álvarez-Samaniego, Andrés Merino
We consider the class of compact countable subsets of the real numbers . By using an appropriate partition, up to homeomorphism, of this class we give a detailed proof…