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About directed spaces and braid groups

Prelegent(ci)
Krzysztof Ziemiański
Afiliacja
MIMUW
Termin
15 grudnia 2020 16:30
Informacje na temat wydarzenia
Zoom: 811 1192 8889, pass: proszę wpisać liczbę równą rk(H^2((S^1)^{200};Z))
Seminarium
Seminarium „Topologia algebraiczna”

Precubical sets are important examples od directed space; they also play an important role in concurrency theory. The main goal of this talk is to show that the space of directed paths on the final precubical set is homotopy equivalent to the disjoint union of configuration spaces of n points on the real plane, with one component for every natural number n. I will also discuss several applications of this result.