Density of k-Box-Products and the existence of generalized independent families

Stefan Ottmar Elser


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.


K-box-product; generalized independent family

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1. On Banach and Kuratowski Theorem, K-Lusin sets and strong sequences
Joanna Jureczko
Open Mathematics  vol: 16  issue: 1  first page: 724  year: 2018  
doi: 10.1515/math-2018-0066

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Universitat Politècnica de València

e-ISSN: 1989-4147