REMARKS AND QUESTIONS ON BASE POSITIONAL DIMENSION-LIKE FUNCTIONS OF THE TYPE IND

Year 2013, Volume: 1 Issue: 1, 9 - 17, 01.06.2013

Dimitrios N. Georgıou Athanasios C.megarıtıs

Abstract

Let Q be a subset of a space X. A family A of open subsets ofX is said to be a p-base for Q in X if the set {Q ∩ U : U ∈ A} is a base forthe subspace Q. In [12] base positional dimension-like functions of the typeind were introduced. The domain of these functions is the class of all p-bases.These functions were studied only with respect to the property of universality.Here, we study these functions with respect to other standard properties ofdimension theory and we present questions concerning these functions

Keywords

Small inductive dimension, relative dimension, positional dimension

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• University of Patras, Department of Mathematics, 265 04 Patras, Greece E-mail address: [e-mail] Technological Educational Institute of Messolonghi, Department of Accounting, 30200 Messolonghi, Greece
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