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 addition, we present a new proposal for a simple...
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...
A NOTE ON THE CANTOR-SCHROEDER-BERNSTEIN THEOREM AND ITS PROOF WITHOUT WORDS In this work, the Cantor-Schroeder-Bernstein theoremt is addressed. The main goal and contribution of this presentation consists in giving an easy proof which can be easily understood by students without a strong ...