Embedding of the Free Abelian Topological Group A(X x X) into A(X)

Prelegent(ci)

Mikołaj Krupski

Afiliacja

University of Warsaw

Termin

12 czerwca 2019 16:15

Pokój

p. 5050

Seminarium

Seminarium „Topologia i teoria mnogości”

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In my talk I will discuss the following question: For which separable metrizable spaces X does the free abelian topological group A(X x X) isomorphically embed into A(X)?
While for many natural spaces X such an embedding exist, I will show that there is a compact metric space X (Cook continuum) such that A(X x X) does not embed into A(X) as a topological subgroup.
The results which I am going to present were obtained jointly with A. Leiderman and S. Morris.

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