What is the English translation for Einsatzunghomöomorphismus in German?

In summary, the conversation discusses the concept of "Einsatzunghomöomorphismus" and its English translation. It is described as a homeomorphism where elements from one space are plugged into another space, specifically in the context of polynomial rings and complex numbers. The source of this word is also mentioned.
  • #1
trambolin
341
0
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 [itex]\mathbb{R}[\xi][/itex] and you start taking elements from that space and plugging complex numbers into the indeterminate to create a mapping [itex]\mathbb{C}[/itex] to most probably [itex]\mathbb{C}[/itex] 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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  • #2
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
 
Last edited by a moderator:
  • #3
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...
 

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