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Analysis Seminar | Marianna Csornyei (U Chicago)

Monday, February 24, 2025 | 4:00 PM - 5:00 PM CT
Lunt Hall, 107, 2033 Sheridan Road, Evanston, IL 60208 map it

Title: Embeddings into Euclidean spaces without shrinking

Abstract: We study the problem which spaces $(X,\rho)$ can be embedded into ${\mathbb R}^d$ without decreasing any of the distances in $X$. That is, we ask the question whether there is an $f:\,X\to{\mathbb R}^d$ such that $\|x-y\|\ge\rho(x,y)$ for every $x,y\in X$. Our aim is to find necessary and sufficient conditions under which such a mapping exists, and to show how this can be used to generalize/disprove some classical results in real analysis.

 

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  • Faculty/Staff
  • Student
  • Public
  • Post Docs/Docs
  • Graduate Students

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Rachel Greenfeld
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