The higher infinite : large cardinals in set theory from their beginnings

By A. Kanamori. 2005

531 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/46ecfbc561410bb5e21a622dac0fd8c7db7092ab

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Peter Koellner
2. Yaroslav D. Sergeyev
3. W. Woodin
4. Ilijas Farah

In Geometry and Topology

1. Peter Koellner
2. Yaroslav D. Sergeyev
3. W. Woodin
4. Ilijas Farah

In Mathematical Physics

1. Peter Koellner
2. Yaroslav D. Sergeyev
3. W. Woodin
4. Ilijas Farah

Citations in the corpus

• ALL AUTOMORPHISMS OF THE CALKIN ALGEBRA ARE INNER (2007, background): “Proof. The rst part is a special case of Shoeneld’s Absoluteness Theorem (see e.g., [ 22, Theorem 13.15 ]).”
• Large Cardinals from Determinacy (2010, background): “See [2], [10], and Jackson’s chapter in this Handbook for further details and references.”
• Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems (2017, background): “In fact, the point of view on infinity accepted nowadays (see [3,23, 27,51,58,59,113]) takes its origins from the famous ideas of Cantor (see [16]) who in the second half of the XIXth century has shown that there exist infinite sets having different cardinalities.”