Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Borys Ãlvarez-Samaniego and Andrés Merino
Pages: [1] - [33]
Received Date: July 15, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121692
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 of a result
shown by Mazurkiewicz and Sierpinski related to the cardinality of
this partition. Furthermore, for any compact subset of 
we show the existence of a
“primitive†related to its Cantor-Bendixson derivative.
Cantor-Bendixson’s derivative, ordinal numbers.
