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Boolean algebra bibliography (updated monthly, roughly)

Recent Research:

[63] Problems in the set theory of Boolean algebras. Mathematica Japonica 42, 1995, 179--185.

[64] Minimum-sized infinite partitions of Boolean algebras. Mathematical Logic Quarterly 42, 1996, 537--550.

[65] (with A. Dow) Depth, $\pi$-character, and tightness in superatomic Boolean algebras. Topology and its Applications 75, 1997, 183--199. There is a Correction to this.

[66] (with P. Nyikos) On cellularity in homomorphic images of Boolean algebras. Topology Proceedings 22, 1998, 341--362.

[67] The spectrum of partitions of a Boolean algebra. Archive for Mathematical Logic 40 (2001), 243--254.

[68] Generalized free products. Colloquium Mathematicum 88 (2001), 175--192.

[69] Continuum cardinals generalized to Boolean algebras. J. Symb. Logic 66 (2001), 1928--1958.

[70] An introduction to cylindric set algebras (with an appendix by H. Andreka. Logic Journal of the IGPL 8 (2000), 451--506. (Reprint, with corrections and an added appendix, of [62].)

[71] Boolean algebras. Entry in Stanford Encyclopedia of Philosophy (electronic) (2002); link to the Encyclopedia.

[72] An atomless interval Boolean algebra $A$ such that ${\frak a}(A)<{\frak t}(A)$.} Alg. Univ. 47 (2002), 495--500.

[73] The spectrum of maximal independent subsets of a Boolean algebra. Annals of Pure and Appl. Logic 126 (2004), 335--348.

[74] (with R. McKenzie) On some small cardinals for Boolean algebras. J. Symb. Logic 69 (2004), no. 3, 674--682.

[75] Generalized ${\frak b}$ and ${\frak d}$. Notre Dame J. Formal Logic 45 (2004), no. 3, 129--146.

[76] The size of maximal almost disjoint families. Dissert. Math. 437, 47pp. Inst. of Math., Polish Acad. Sci. (2006)

[77] Towers and maximal chains in Boolean algebras. Alg. Univ. 56 (2007), 337--347.

[78] Maximal irredundance and maximal ideal independence in Boolean algebras. J. Symb. Logic 73, no. 1 (2008), 261-275.

[79] On the existence of towers in pseudo-tree algebras. Order 26 (2009), 163-175.

[80] Leon Albert Henkin (1921--2006).} Bull. Symb. Logic 15, no. 3 (2009), 326-331.

[81] Special subalgebras of Boolean algebras. Math. Logic Quarterly 56, no. 2 (2010), 148-158.

[82] Maximal free sequences in a Boolean algebra. Comment. Math. Univ. Carol. 52, 4 (2011), 593--611.

[83] Remarks on continuum cardinals on Boolean algebras. Math. Log. Quarterly 58, no. 3 (2012), 159-167.

[84] Cardinal invariants on Boolean algebras. Second revised edition. (2014) vii + 573pp.

[85] Leon Henkin and cylindric algebras. In "The Life and Work of Leon Henkin.", Birkhauser, 59-66.

Lecture notes, etc.:

(1) Unpublished notes on subalgebras of interval algebras.

(2) Continuum cardinals

(3) Basic pcf theory. (files are put in a subdirectory "tmp")

(4) Notes on Cardinal invariants on Boolean algebras, second revised edition.

(5) Lectures on set theory

(6) Problems on cardinal functions on Boolean algebras

math 4000/5000

Calculus III