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Results tagged with elementary-set-theory
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user 782192
For elementary questions on set theory. Topics include intersections and unions, differences and complements, De Morgan's laws, Venn diagrams, relations and countability.
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What is the proper name for an "ordered partition" of an "ordered set"?
Suppose I have an ordered set $X$ with a finite number of elements. Say, for instance, $S = \{0.16, 0.34, 1.15, 3.16, 5.7\}$. Note that for "ordered set" I mean that the set elements are ordered start …
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Notation: set X whose elements are smaller than each elements of set Y
Does there exist some notation to indicate that all elements of a set X are smaller than all elements of a set Y?
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Notation: function returning the element of a partition containing $x$
Suppose $Y=\{y_1,\ldots,y_m\}$ partitions the set $X=\{x_1,\ldots,x_n\}$. I would like to define a function $y: X \to Y$ which returns $y \in Y$ if and only if $x \in y$. Is there a way to write this …
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