On Cartesian products of compact lines

Prelegent(ci)

Grzegorz Plebanek

Afiliacja

University of Wrocław

Termin

21 listopada 2018 16:15

Pokój

p. 5050

Seminarium

Seminarium „Topologia i teoria mnogości”

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This is joint work with Gonzalo Martinez Cervantes. By a compact line we mean a compact space which topology is defined by a linear order. Answering a problem posed by Mardesic, we show that n-fold product of compact lines cannot be continuously mapped onto a product of n+1 nonmetrizable spaces. Our proof makes use of a certain topological invariant that we call free dimension. That free dimension may be applied to some questions concerning embeddability of free products of Boolean algebras.

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