Kacper Kucharski

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Physical Activity and Mental Health: Systematic Review of Neurobiological Mechanisms and Clinical Effects

Introduction. Depressive and anxiety disorders represent a global health and economic problem, drastically reducing the quality of life for the population. The search for effective, low-cost methods to complement traditional psychiatric treatment, ones that are free of serious side effects, has led to a resurgence in r...

The Cartesian product of any family of $W$-spaces is $\kappa$-Fr\'{e}chet-Urysohn

In this note, we prove that an arbitrary product of $W$-spaces is a $\kappa$-Fr\'{e}chet-Urysohn space. We also show that the boundary tightness of a product $X \times Y$ is at most $\kappa$ provided that $X$ is compact with tightness $t(X) \leq \kappa$ and $Y$ has boundary tightness $tb(Y) \leq \kappa$. The first resu...