Grzegorczyk and Whitehead Points: The Story Continues

Abstract

The paper is devoted to the analysis of two seminal definitions of points within the region-based framework: one by Alfred N. Whitehead [29] and the other by Andrzej Grzegorczyk [21]. Relying on the work of Loredana Biacino's and Ginagiacomo Gerla's [2], we improve their results, solve some open problems concerning the mutual relationship between Whitehead and Grzegorczyk points, and put forward open problems for future investigation.