Talk:Kernel (set theory)

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Mathematics rating:	Stub Class	Mid Priority	Field: Foundations, logic, and set theory
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. --Cronholm144 21:39, 15 June 2007 (UTC)

I moved this page from kernel (function) because the former title may be confused with the concept of a kernel function, which is altogether different from the topic of this article. Michael Hardy 15:04, 23 Jul 2004 (UTC)

[edit] Simple example?

Could someone add a very very simple example? For example, what's the kernel of f(x) = x²? If that's a nonsensical question, why? —Ben FrantzDale 21:44, 11 September 2006 (UTC)

that corresponding kernel is the equivalence relation x ~ y if x^2 = y^2. so we identify x with -x and effectively what you have left is the, say, right half of the real line [0, ∞). Mct mht 07:08, 13 September 2006 (UTC)