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Aplikace Baireovy věty
 Peprníková, Ľubica ; Simon, Petr (advisor) ; Pyrih, Pavel (referee)
The aim of this work is to show, having three di®erent spaces and a set of elements with some common property in each one of them that the given set is the set of typical elements in that space. First we will show that a typical continuous function deffined on the interval [0; 1] is a nowhere differentiable one. Then we will show that a typical compact set in R2 is a discontinuum. And lastly, we will show that a typical planar continuum is an indecomposable one. A valuable tool will be the Baire theorem, the use of which will ensure, besides the density, also the fact that the given set is a countable intersection of open sets.
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