Dimensional types and P-spaces

2021/07/20 by Bielas, Wojciech, Kucharski, Andrzej, Plewik, Szymon
#03E35 #54A10 #54G10 #Category Theory (math.CT) #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2107.09386

Abstract

We investigate the category of discrete topological spaces, with emphasis on inverse systems of height ω₁. Their inverse limits belong to the class of P-spaces, which allows us to explore dimensional types of these spaces.

Related

• Scattered P-spaces of weight ω₁
• Cellular structures, quasisymmetric mappings, and spaces of homogeneous type
• On p-closed spaces
• Zero-Bidimension and Various Classes of Bitopological Spaces
• On Δ-spaces