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A Note on Transfinite Cardinal Numbers

Title 
A Note on Transfinite Cardinal Numbers
Other Titles 
超限基數들에 關한 考察
Authors 
Park, Yong Sik
Issue Date 
1979
Journal 
연구논문집
Vol. 
Vol.4
Issue 
No. 2
Pages 
95-99
Abstract 
本 論文은 超限基數들(또는 無限集合의 基數들)에 關한 것이다. 論文의 目的은 有限集合의 基數들의 性質을 알고 超限基數들(Χ_0, C, 2^Χ_0, 2^C, Χ_0^Χ_0, Χ_0^C, C_Χ_0, C^C)의 一般的 特性을 조사하여 그들간의 相互關係를 硏究하는데 있다.
This paper is concerned with transfinite cardinal numbers(or the cardinal number of infinite sets). The purpose is to investigate the general properties of transfinite cardinal numbers(Χ_0, C, 2^Χ_0, 2^C, Χ_0^Χ_0, Χ_0^C, C_Χ_0, C^C) and study their correlations as follows: 1. Algebraic numbers and Χ_0. 2. Other sets with cardinality c and Χ_0. 3. Cardinal exponents and Χ_0, C. 4. The cardinality of the set of function and subset. Cardinalities are to be well-defined sets, and every set is to be equipotent with exactly one cardinal number. The cardinal number of any denumerable set is customarily designated by the symbolΧ.(aleph-null). It is useftl to distinguish between finite cardinal numbers-that is, cardinal numbers of finite sets-and infinite, or transfinite cardinal numbers, which are the cardinal number of infinite sets. We shall show to investigate a general definition of cardinal numbers of infinite sets, or transfinite cardinal numbers.
URI 
http://repository.uc.ac.kr/handle/2014.oak/694
ISSN 
1598-3390
Appears in Collections
03. 교양과 > 연구논문

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