On A Universal Bicompactum of Weight N

I. I. Parovičenko
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I. I. Parovičenko: Kišinev State University

A chapter in The Mathematical Legacy of Eduard Čech, 1993, pp 93-96 from Springer

Abstract: Abstract According to the well-known theorem by P. Alexandrov, the Cantor discontinuum ${\Delta_{{N_0}}}$ has the universality property in the class of all compact spaces of weight ≤ N0- The universality property means that every compact space of weight ≤ N0 is its continuous image. P. Alexandrov also gave a simple topological definition of ∆n0 as a zero-dimensional perfect compact space of weight N0. In [1], A. Esenin-Vol’pin, assuming the generalized continuum hypothesis, proved the existence of a compact space of an arbitrary weight m, which is universal in the same sense.

Date: 1993
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DOI: 10.1007/978-3-0348-7524-0_8

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