Everything about Cardinality of the continuum

🧭 Start here: a 6-step reading path

1. Read the overview: Cardinality of the continuumA 5-minute orientation
2. Pick up a classic book: Centenary of the Borel ConjectureThe most-reprinted book on the subject
3. Read the landmark paper: A compact space having the cardinality of the continuum with no convergent sequencesCited 38 times
4. Go sideways: Cardinal characteristic of the continuumA closely related topic
5. Go sideways: First uncountable ordinalA closely related topic

🏆 Landmark papers (most cited)

• A compact space having the cardinality of the continuum with no convergent sequences

  V. V. Fedorčuk · 1977 · Mathematical Proceedings of the Cambridge Philosophical Society · 38 citations

• The family of bi-Lipschitz classes of delone sets in euclidean space has the cardinality of the continuum

  A. N. Magazinov · 2011 · Proceedings of the Steklov Institute of Mathematics · 9 citations

• Omitting the cardinality of the continuum in scattered spaces

  I. Juhász, W. Weiss · 1989 · Topology and its Applications · 6 citations

• Operations on Fuzzy Numbers with Bearer of the Cardinality of Continuum for Modeling in Combinatorial Optimization

  Oleg A. Iemets, Tatyana A. Parfonova · 2010 · Journal of Automation and Information Sciences · 2 citations

• The cardinality of fuzzy sets and the continuum hypothesis

  Li Hong-xing, Luo Cheng-zhong, Wang Pei-zhuang · 1993 · Fuzzy Sets and Systems · 1 citations

• An elementary proof that the Borel class of the reals has cardinality continuum

  Z. Kánnai · 2019 · Acta Mathematica Hungarica · 1 citations

• Cantor’s "Cardinality of the Continuum" is False in Non-Euclidean Geometries

  Ayal Sharon · 2021 · SSRN Electronic Journal · 0 citations

• METHODOLOGICAL FEATURES OF INVESTIGATING SETS HAVING THE CARDINALITY OF A CONTINUUM

  Kherson State University, Oleksandr SAVCHENKO, Kateryna TSYMBALIAK · 2025 · Cherkasy University Bulletin: Pedagogical Sciences · 0 citations

📚 Books worth reading

• 📕Centenary of the Borel ConjectureMarion Scheepers, Ondrej Zindulka · 2020

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

🔗 Related topics

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• Beth number In mathematics, particularly in set theory, the beth numbers form a certain (unset) sequence of infinite cardinal numbers (also known as transfinite numbers)…
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