Set Theory, 3^rd millennium ed

Thomas Jech, S. (2003). Set Theory, 3rd millennium ed. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2003

Link

no authoritative link yet

Cited by

4 citations across 4 artifacts.

Domain-specific

• Continuous function (ordinal theory)
  • In ordinal theory, a continuous increasing function preserves suprema at limit stages: f(lambda) equals the supremum of f(alpha) for alpha below each limit lambda in its domain.
• Knaster's condition
  • … constitutive identity and a convenient observable transfers from A Knaster forcing cannot contain an uncountable antichain because the required uncountable linked subset would contain compatible pairs. to A forcing proof distinguishes Knaster, precaliber-aleph-one and ccc, whose preservation properties differ..
• Normal function
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Order type
  • … example, the distinction between constitutive identity and a convenient observable transfers from The natural numbers and the positive even integers in their usual order have the same order type omega. to A set theorist distinguishes order type from cardinality because equal-size sets can have nonisomorphic orders..

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:d33abd09d1a4 · see in the full table