Everything about Cofinality

🧭 Start here: a 6-step reading path

1. Read the overview: CofinalityA 5-minute orientation
2. Skim a recent paper: Polish cofinality in spaces of bounded functionsInfluential work since 2022
3. Pick up a classic book: Definição de insumos para apropriação de créditos do PIS e da COFINSThe most-reprinted book on the subject
4. Read the landmark paper: Changing cofinality of cardinalsCited 65 times
5. Go sideways: Ordinal numberA closely related topic
6. Go sideways: Aleph numberA closely related topic

🏆 Landmark papers (most cited)

• Changing cofinality of cardinals

  Menachem Magidor · 1978 · Fundamenta Mathematicae · 65 citations

• Cofinality spectrum theorems in model theory, set theory, and general topology

  M. Malliaris, S. Shelah · 2015 · Journal of the American Mathematical Society · 40 citations

• The weight of a pseudocompact (homogeneous) space whose cardinality has countable cofinality

  Eric K. van Douwen · 1980 · Proceedings of the American Mathematical Society · 34 citations

• On the cofinality of ultrapowers

  Andreas Blass, Heike Mildenberger · 1999 · Journal of Symbolic Logic · 20 citations

• The almost-disjointness number may have countable cofinality

  Jörg Brendle · 2003 · Transactions of the American Mathematical Society · 19 citations

• The Cofinality of a Partially Ordered Set

  E. C. Milner, K. Prikry · 1983 · Proceedings of the London Mathematical Society · 18 citations

• On Jónsson cardinals with uncountable cofinality

  Jan Tryba · 1984 · Israel Journal of Mathematics · 17 citations

• The Baire category theorem and cardinals of countable cofinality

  Arnold W. Miller · 1982 · Journal of Symbolic Logic · 17 citations

🆕 Influential since 2022

• Polish cofinality in spaces of bounded functions

  V.V. Tkachuk · 2023 · Topology and its Applications · 5 citations

• Blowing up the power of a singular cardinal of uncountable cofinality with collapses

  Sittinon Jirattikansakul · 2023 · Annals of Pure and Applied Logic · 2 citations

• More about the cofinality and the covering of the ideal of strong measure zero sets

  Miguel A. Cardona, Diego A. Mejía · 2025 · Annals of Pure and Applied Logic · 2 citations

• ITERATING THE COFINALITY- CONSTRUCTIBLE MODEL

  UR YA’AR · 2023 · The Journal of Symbolic Logic · 1 citations

• COFINALITY QUANTIFIERS IN ABSTRACT ELEMENTARY CLASSES AND BEYOND

  WILL BONEY · 2023 · The Journal of Symbolic Logic · 1 citations

📚 Books worth reading

• 📕Definição de insumos para apropriação de créditos do PIS e da COFINSFabio Rodrigues de Oliveira · 2011
• 📕Contribuições PIS--PASEP e COFINSRodrigo Caramori Petry · 2009
• 📕Ratio et superstitioGraziella Federici-Vescovini, Giancarlo Marchetti · 2003
• 📕Dialettali e neodialettali in ingleseAnnalisa Buonocore · 2003
• 📕PIS - COFINSRicardo Mariz de Oliveira, Marcelo Magalhães Peixoto · 2005
• PIS e COFINSPaulo Henrique Pêgas · 2014
• 📕PIS/PASEP e COFINS · 2005
• 📕Comentários à legislação da COFINSAchiles Augustus Cavallo · 2005

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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