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Boise Extravaganza in Set Theory
March 25-26, 2007
Knotty Pines Kabins
Idaho City, ID, USA

Organizers
Liljana Babinkostova, Stefan Geschke, Justin Moore, and Marion Scheepers

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Low distortion embeddings into the real line
by
Stefan Geschke
Boise State University

Among other things, we observe that consistently every separable metric space can be

covered by less than continuum many sets that can be embedded with low distortion

into the real line.

The corresponding cardinal invariants are connected to the socalled localization numbers.

Date received: February 21, 2007


Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caty-06.