Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, September 26, 2017, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Alexander Pilz

Arrangements of Approaching Pseudo-Lines

We consider arrangements of pseudo-lines in the Euclidean plane where each pseudo-line is represented by a bi-infinite, connected x-monotone curve, s.t. the vertical distance between each pair of such curves is monotonically decreasing (i.e., the pseudo-lines approach each other until they cross, and then move away from each other). We show that such arrangements of approaching pseudo-lines, under some aspects, behave similar to arrangements of lines, while for other aspects, they share the freedom of general pseudo-line arrangements, and are therefore an interesting topic for further research. Joint work with Stefan Felsner and Patrick Schnider.

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