Forcing for hL and hd

• Autorzy: Andrzej Rosłanowski , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

The present paper addresses the problem of attainment of the supremums in various equivalent definitions of the hereditary density hd and hereditary Lindelöf degree hL of Boolean algebras. We partially answer two problems of J. Donald Monk [13, Problems 50, 54], showing consistency of different attainment behaviour and proving that (for the variants considered) this is the best result we can expect.

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 54A25: Cardinality properties (cardinal functions and inequalities, discrete subsets)
• 06Exx: Boolean algebras (Boolean rings)
• 03G05: Boolean algebras
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 88
• Numer: 2
• Strony: 273-310

Daty

wydano

2001

Twórcy

autor

Andrzej Rosłanowski

• Department of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182-0243, U.S.A., Mathematical Institute, Wrocław University, 50384 Wroclaw, Poland

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel, Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, U.S.A.

Identyfikatory

DOI

10.4064/cm88-2-9