What is the English translation for Einsatzunghomöomorphismus in German?

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The term "Einsatzunghomöomorphismus" appears to be a misspelling or confusion with "Einsetzunghomöomorphismus" or "Auswertungshomöomorphismus," which relate to evaluation homomorphisms in mathematics. The discussion revolves around the concept of a homeomorphism that evaluates elements by substituting values from another space, particularly in the context of polynomial rings. A link to a relevant resource on evaluation homomorphisms is also shared, highlighting the importance of precise terminology in mathematical discussions. The initial query reflects a desire to clarify terminology for study purposes. Accurate spelling is crucial for effective research in mathematical concepts.
trambolin
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Can anyone identify the word something like

"Einsatzunghomöomorphismus",

and give me the english translation?

It is the homeomorphism where you evaluate the elements by plugging elements from another space. Well, that is not a good sentence...

Suppose you consider the polynomial ring \mathbb{R}[\xi] and you start taking elements from that space and plugging complex numbers into the indeterminate to create a mapping \mathbb{C} to most probably \mathbb{C} or a subspace of it.

Hmm... this is not good also but I hope you get the idea, sorry for the sloppiness but I am actually looking for it to study.
 
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trambolin said:
Can anyone identify the word something like

"Einsatzunghomöomorphismus",

I've hever heard (or read) that word. Do you mean "Einsetzunghomöomorphismus" or ""Auswertungshomöomorphismus"..? Where did you come across this word?

What about this:
http://planetmath.org/encyclopedia/EvaluationHomomorphism.html
 
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Damn, all those letters and I miss only one of them, that made my search completely useless. Nevertheless, thank you very much for the fast response...
 
I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

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