Dikran Dikranjan

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Questions related from Dikran Dikranjan

Does the Addition theorem hold true for the topological entropy of continuous endomorphisms of locally compact abelian groups?

The topological entropy h(f) of continuous endomorphisms f of locally compact groups was defined by R. Bowen (in the metrisable case). One says that the Addition theorem holds for a continuous...

28 December 2020 3,191 3 View

For which abelian groups G the pro-countbale topology T_G has the Baire space property ?

(This is a joint question with L. Aussenhofer) The local base at 0 of the pro-countbale topology T_G of G consists of all subgroups of G of (at most) countable index. So T_G is discrete for...

29 February 2020 7,750 1 View

Does the countably infinite abelian group of exponent 2 admit a non-discrete locally minimal group topology?

A Hausdorff topological group (G,T) is said to be locally minimal if there exists a T-neighborhood U of 1_G such that whenever T' is a coarser Hausdorff group topology on G such that U is still a...

18 December 2019 682 8 View

Is it true that the topological entropy of a continuous endomorphism of a finite-dimensional locally compact connected group is finite?

The topological entropy of uniformly continuous selfmaps of uniform spaces is defined following Bowen-Dinaburg approach. It works particularly well for continuous endomorphisms of locally compact...

27 May 2019 7,511 2 View

If a topological abelian group G has the same compact sets as its Bohr topology, is then G necessarily MAP?

Here "compactness" does not include T_2.

02 February 2019 9,479 1 View