Embeddings, projections, and Easton’s lemma

Šárka Stejskalová

Embeddings, projections, and Easton’s lemma

Číslo: 1/2022
Periodikum: Acta Universitatis Carolinae Philosophica et Historica
DOI: 10.14712/24647055.2025.4

Klíčová slova: forcing; forcing notion; dense embedding; regular embedding; complete embedding; projection; chain condition; closure

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Anotace: We survey some lesser-known facts concerning properties of embeddings and projections between forcing notions. We will also state some generalizations of Easton’s lemma. To our knowledge, many of these facts have not been published, so we include their proofs for the benefit of the reader.