Perfect set property
In the mathematical field of descriptive set theory, a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset (Kechris 1995, p. 150). Note that having the perfect set property is not the same as being a perfect set.
Perfect set property - Wikipedia Jump to content From Wikipedia, the free encyclopedia Property in descriptive set theory In the mathematical field of descriptive set theory , a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset (Kechris 1995, p. 150). Note that having the perfect set property is not the same as being a perfect set . As nonempty perfect sets in a Polish space always have the cardinality of the continuum , and the reals form a Polish space, a set of reals with the perfect set property cannot be a counterexample to th
Explore this link on the map →related reading
- Set Theory (Stanford Encyclopedia of Philosophy)plato.stanford.edu
- Axiom of choice - Wikipediaen.wikipedia.org
- Set Theory | Internet Encyclopedia of Philosophyiep.utm.edu
- Zorn's lemma - Wikipediaen.wikipedia.org
- How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer. | Quanta Magazinequantamagazine.org
- Napkin.pdfvenhance.github.io
- Benacerraf's identification problem - Wikipediaen.wikipedia.org
- Schröder–Bernstein theorem - Wikipediaen.wikipedia.org
- Set theory - Wikipediaen.wikipedia.org
- Two infinities that are surprisingly equal | Gowers's Webloggowers.wordpress.com
- Compact space - Wikipediaen.wikipedia.org
- Arithmetical hierarchy - Wikipediaen.wikipedia.org