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An Introduction to Rectifiability, Part II: Projections

Ignacio Tejeda, University of Washington
Thursday, October 27, 2022 - 12:30pm to 1:30pm
PDL C-401

This is the second talk of a two-talk series on rectifiability.

In the first talk, we learned how rectifiable sets can be characterized in terms of tangents. A close look at those arguments shows how projections played a major role, and thus a natural question would be: can rectifiability be characterized in terms of projections? The aim of this talk is to give a complete answer to this question, by describing and giving some insights on how rectifiable and purely unrectifiable sets project to sets of positive or zero measure in different directions.

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