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

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Mathematical Sciences and Applications E-Notes
Volume:1 Issue:1
REMARKS AND QUESTIONS ON BASE POSITIONAL DIMENSION-LIKE FUNCTIONS OF THE TYPE IND

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

Authors : Dimitrios N GEORGIOU, Athanasios CMEGARITIS

Pages : 9-17

View : 32 | Download : 16

Publication Date : 2013-06-01

Article Type : Research Paper

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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