It is commonly known that if we have a binary equivalence relation $R$ defined on some set $W$ its equivalence classes form a partition of $W$. So, let $W = \{5, \sqrt{25}, \frac{10}{2} \}$ be a set, in which all of its elements are equal. What kind of partition of $W$ will be defined by the equivalence relation $= \subseteq W \times W$? Can we say that $W$ is a partition of itself?
2026-03-29 12:44:49.1774788289
If we have a set, is it possible for this set to be a partition of itself with a single equivalence class?
31 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ELEMENTARY-SET-THEORY
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