- Tytuł:
- Cardinality of the sets of all bijections, injections and surjections
- Autorzy:
- Zieliński, Marcin
- Powiązania:
- https://bibliotekanauki.pl/articles/1790582.pdf
- Data publikacji:
- 2019-12-05
- Wydawca:
- Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
- Opis:
- The results of Zarzycki for the cardinality of the sets of all bijections, surjections, and injections are generalized to the case when the domains and codomains are infinite and different. The elementary proofs the cardinality of the sets of bijections and surjections are given within the framework of the Zermelo-Fraenkel set theory with the axiom of choice. The case of the set of all injections is considered in detail and more explicit an expression is obtained when the Generalized Continuum Hypothesis is assumed.
- Źródło:
-
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2019, 11; 143-151
2080-9751
2450-341X - Pojawia się w:
- Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
- Dostawca treści:
- Biblioteka Nauki
Artykuł