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Sum of two rare sets in a category base can be absolutely non-baire

2023/08/13 by Sanjib Basu, Basu, Sanjib, Abhit Chandra Pramanik +1
Computer Science · Mathematics · #2020 Mathematical Subject Classification: 28A05 #54A05 #54A52 #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2308.06676

openalex publication_date 2023/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give generalized version in category bases of a result of Kharazishvili dealing with absolute nonmeasurability of the Minkowski sum of certain universal measure zero sets which were based on an earlier result of Erdos, Kunen and Mauldin in the real line.

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