Examines the Cantor-Schroeder-Bernstein Theorem. Proofs of the theorem; Linguistic defect in the theorem; Point-tracing argument. Schweizer,Berthold - 《Mathematics Magazine》 被引量: 2发表: 2000年 The Set of Rationale Numbers is Countably Infinite-A Simple Proof Schroeder-Bernstein Theorem.In addi...
康托尔-伯恩施坦定理(Cantor-Bernstein-Schroeder theorem)是集合论中的一个基本定理,得名于康托尔、伯恩斯坦和 Ernst Schröder。 康托尔-伯恩斯坦定理在集合论中有着重要的应用,它提供了一种判断两个集合是否等价的判据。根据这个定理,如果存在从集合A到集合B的单射函数和从集合B到集合A的满射函数,那么我们可以...
In this way, the well-known Peczyński's decomposition method can be seen as a Schroeder–Bernstein type theorem. Then, we give a complete description of the Schroeder–Bernstein type theorems for this new notion of complementability. By contrast, some very elementary questions on P-complement...
The Cantor–Bernstein–Schroeder theorem of set theory has a counterpart for measurable spaces, sometimes called the Borel Schroeder–Bernstein theorem, since measurable spaces are also called Borel spaces. This theorem, whose proof is quite easy, is instrumental when proving that two measurable spaces...
Examines the Cantor-Schroeder-Bernstein Theorem. Proofs of the theorem; Linguistic defect in the theorem; Point-tracing argument. Schweizer,Berthold - 《Mathematics Magazine》 被引量: 2发表: 2000年 The Set of Rationale Numbers is Countably Infinite-A Simple Proof Cantor- Schroeder-Bernstein Theorem...