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math.GM2023
On the Riemann integrability of the norm of a path in normed spaces
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Luis Rivera
A useful result is that if a bounded complex-valued path is Riemann-integrable, then its modulus is also Riemann-integrable. The extension of this last result to bounded paths taki…
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…