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Surjections and weak forms of The axiom of choice |
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| รหัสดีโอไอ | |
| Title | Surjections and weak forms of The axiom of choice |
| Creator | Jaruwat Rodbanjong |
| Contributor | Pimpen Vejjajiva |
| Publisher | Chulalongkorn University |
| Publication Year | 2559 |
| Keyword | Axiom of choice, Set theory, Axiomatic set theory, สัจพจน์การเลือก, ทฤษฎีเซต, ทฤษฎีเซตเชิงสัจพจน์ |
| Abstract | If there is an injection from a nonempty set A into a set B, then there is always a surjection from B onto A. Without the Axiom of Choice (AC), the converse of this statement is not necessarily true. There are many other consequences of AC concerning surjections. We study these consequences and introduce some new weak forms as well as equivalent forms of AC and show some relationships among them. |
| URL Website | cuir.car.chula.ac.th |