Questions tagged [morphism]

In category theory, a morphism is a structure-preserving map, such as continuous mappings on topological spaces, measurable functions, and linear maps.

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What is a homomorphism and what does "structure preserving" mean?

I am not a mathematician and have not formally studied mathematics so I hope someone will be able to explain this to me in a way that I can understand given my level of mathematical understanding. I have read the other posts about this question but…
user56834
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Is a homeomorphism a homomorphism?

Wikipedia states that homomorphisms are structure preserving maps from one algebraic structure to another. A homeomorphism is a topology-preserving map from one topological space to another (that also admits an inverse). However, since a…
user56834
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How do I prove the following statement about the kernel?

I have the following problem: Given a finite group $G$ and $p$ the smallest prime dividing $card(G)$. Let $H$ be a subgroup s.t. $card(G\setminus H)=p$ Let $X=G\setminus H$ and consider the action $$G\times X\rightarrow X; \,\,(g,xH)\mapsto gxH$$…
user123234
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