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On Cartesian products of compact lines
- Speaker(s)
- Grzegorz Plebanek
- Affiliation
- University of Wrocław
- Date
- Nov. 21, 2018, 4:15 p.m.
- Room
- room 5050
- Seminar
- Topology and Set Theory Seminar
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.
