Compact spaces of the first Baire class that have open finite degree

2015/12/28 by Antonio Avilés, Avilés, Antonio, Stevo Todorcevic +1
Mathematics · #03E15 #05C05 #05D10 #26A21 #54D30 #54D55 #54H05 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:03E15 #msc:05C05 #msc:05D10 #msc:26A21 #msc:54D30 #msc:54D55 #msc:54H05

paper · pdf · doi:10.48550/arxiv.1512.08363

arxiv created 2015/12/28 · arxiv updated 2015/12/29

Abstract

We introduce the open degree of a compact space, and we show that for every natural number n, the separable Rosenthal compact spaces of degree n have a finite basis.

Related

• Banach spaces with arbitrary finite Baire order
• Bases for functions beyond the first Baire class
• Rosenthal compacta and NIP formulas
• Rosenthal compacta that are premetric of finite degree
• Topological properties of spaces of Baire functions