2002/03/31 by Klaas Pieter Hart
Mathematics · #math.GN #msc:03C50 #msc:03C98 #msc:03E55 #msc:03E65 #msc:06D05 #msc:06E15 #msc:28A60 #msc:54A35 #msc:54C10 #msc:54D40 #msc:54D80 #msc:54F15 #msc:54F45 #msc:54H10
published as Acta Universitatis Carolinae---Mathematica et Physica 43 (2002), 2--25 · Notes from a series of lectures at http://www.cts.cuni.cz/events/ws/2002/ws2002.htm, the 30th Winter School on Abstract Analysis<br> 2002-05-02: corrected version after referee's report
arxiv created 2002/05/03 · arxiv updated 2009/11/30
Continuous mappings between compact Hausdorff spaces can be studied using homomorphisms between algebraic structures (lattices, Boolean algebras) associated with the spaces. This gives us more tools with which to tackle problems about these continuous mappings -- also tools from Model Theory. We illustrate by showing that the Čech-Stone remainder [0,∞) has a universality property akin to that of N^*; a theorem of Maćkowiak and Tymchatyn implies it own generalization to non-metric continua; and certain concrete compact spaces need not be continuous images of N^*.