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

Stefan Ottmar Elser

Abstract

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.

Keywords

K-box-product; generalized independent family

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Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt