N. L. Alling

Publications31
h-index12
Citations565
Highly Influential Citations48
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Foundations of the theory of Klein surfaces
Make more knowledge even in less time every day. You may not always spend your time and money to go abroad and get the experience and knowledge by yourself. Reading is a good alternative to do in… Expand
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Foundations of Analysis Over Surreal Number Fields
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Real elliptic curves
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A proof of the Corona conjecture for finite open Riemann surfaces
By a finite open Riemann surface is meant a proper, open, connected subset of a compact Riemann surface W whose boundary T is also the boundary of W— X and consists of a finite number of closed… Expand
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On ordered divisible groups
Introduction and remarks. In the theory of ?la-sets three main theorems stand out: that an na-set is universal for totally ordered sets of power not exceeding Ma, that any two n,-sets of power Ma are… Expand
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Klein surfaces and real algebraic function fields
Introduction. The correspondence between compact Riemann surfaces and function fields in one variable over C is well known and has been widely exploited, both in analysis and in algebraic geometry. A… Expand
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The valuation theory of meromorphic function fields over open Riemann surfaces
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Rings of continuous integer-valued functions and nonstandard arithmetic
0. Introduction. In this paper rings of continuous integer-valued functions are studied, with particular attention paid to their maximal residue class domains. These domains correspond bijectively to… Expand
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CONWAY'S FIELD OF SURREAL NUMBERS
Conway introduced the Field No of numbers, which Knuth has called the surreal numbers. No is a proper class and a real-closed field, with a very high level of density, which can be described by… Expand
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On ηα-groups and fields
Let κ:=ℵα. The following are known: two ηα-sets of power κ are isomorphic. Let α>0. Two ordered divisible Abelian groups that are ηα-sets of power κ are isomorphic, two real closed fields that are… Expand
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