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terrytao.wordpress.com
| | www.jeremykun.com
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| | The First Isomorphism Theorem The meat of our last primer was a proof that quotient groups are well-defined. One important result that helps us compute groups is a very easy consequence of this well-definition. Recall that if $ G,H$ are groups and $ \varphi: G \to H$ is a group homomorphism, then the image of $ \varphi$ is a subgroup of $ H$. Also the kernel of $ \varphi$ is the normal subgroup of $ G$ consisting of the elements which are mapped to the identity under $ \varphi$.
| | www.encyclopediaofmath.org
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| | [AI summary] This text discusses the mathematical concept of standard Borel spaces, their properties, and related theorems in descriptive set theory.
| | grossack.site
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| | Chris Grossack's math blog and professional website.
| | www.bearssl.org
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