منابع مشابه
Alan Dow
One of the many gifts from Alan to Set-theoretic Topology is the use of elementarity. For a while this was even known as “Dow’s method of elementary submodels”. But Alan would be, was, and still is the first to protest that the Löwenheim-Skolem theorem predates him by a few decades. We have for the longest time been familiar with recursive constructions where often beforehand a sequence of situ...
متن کاملA Separable Non-remainder of H Alan Dow and Klaas
We prove that there is a compact separable continuum that (consistently) is not a remainder of the real line.
متن کاملDavid Chodounský Alan Dow Klaas Pieter Hart Harm
We show that the existence of a homeomorphism between ω∗ 0 and ω∗ 1 entails the existence of a non-trivial autohomeomorphism of ω∗ 0 . This answers Problem 441 in [7]. We also discuss the joint consistency of various consequences of ω∗ 0 and ω∗ 1
متن کاملA Universal Continuum of Weight א Alan Dow and Klaas
We prove that every continuum of weight א1 is a continuous image of the Čech-Stone-remainder R∗ of the real line. It follows that under CH the remainder of the half line [0,∞) is universal among the continua of weight c — universal in the ‘mapping onto’ sense. We complement this result by showing that 1) under MA every continuum of weight less than c is a continuous image of R∗, 2) in the Cohen...
متن کاملA New Subcontinuum of Β R \ R Alan Dow And
We present a method for describing all indecomposable subcon-tinua of βR \ R. This method enables us to construct in ZFC a new subcon-tinuum of βR \ R. We also show that the nontrivial layers of standard subcontinua can be described by our method. This allows us to construct a layer with a proper dense Fσ-subset and bring the number of (known) nonhomeomorphic subcontinua of βR \ R to 14.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2016
ISSN: 0166-8641
DOI: 10.1016/j.topol.2016.08.002