Category:Definitions/Cardinals
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This category contains definitions related to Cardinals.
Related results can be found in Category:Cardinals.
Let $S$ be a set.
Associated with $S$ there exists a set $\map \Card S$ called the cardinal of $S$.
It has the properties:
- $(1): \quad \map \Card S \sim S$
that is, $\map \Card S$ is (set) equivalent to $S$
- $(2): \quad S \sim T \iff \map \Card S = \map \Card T$
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Definitions/Cardinals"
The following 20 pages are in this category, out of 20 total.