Open AccessDensity of k-Box-Products and the existence of generalized independent families
Author(s) -
Stefan Ottmar Elser
Publication year - 2013
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2011.1654
Subject(s) - mathematics , cardinality (data modeling) , combinatorics , discrete mathematics , data mining , computer science
In this paper we will prove a slight generalisation of the Hewitt-Marczewski-Pondiczery theorem concerning the density of k-box-products. With this result we will prove the existence of generalized independent families of big cardinality which were introduced by Wanjun Hu