Breaking symmetry on complete bipartite graphs of odd size.
Degree sequences of -free graphs.
Integer sets having the maximum number of distinct differences.
The Turán density of the hypergraph .
Correction to the paper: On linear functorial operators extending pseudometrics
On linear functorial operators extending pseudometrics
For a functor on the category of metrizable compacta, we introduce a conception of a linear functorial operator extending (for each ) pseudometrics from onto (briefly LFOEP for ). The main result states that the functor of -symmetric power admits a LFOEP if and only if the action of on has a one-point orbit. Since both the hyperspace functor and the probability measure functor contain as a subfunctor, this implies that both and do not admit LFOEP.
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