Forcing for hL and hd

Andrzej Rosłanowski; Saharon Shelah

doi:10.4064/cm88-2-9

Forcing for hL and hd

Andrzej Rosłanowski
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	273-310
Number of pages	38
Journal	Colloquium Mathematicum
Volume	88
Issue number	2
DOIs	https://doi.org/10.4064/cm88-2-9
State	Published - 2001

Bibliographical note

Publisher Copyright:
© 2001, Instytut Matematyczny. All rights reserved.

Keywords

Attainment
Boolean algebras
Hereditary Lindelöf degree
Hereditary density
Spread

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10.4064/cm88-2-9

Cite this

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Forcing for hL and hd

Abstract

Bibliographical note

Keywords

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