Home > Search Results: keywords:"spojité funkce|Baireova věta|residuální množiny|typické vlastnosti"
Search:
 
Search Tips :: Simple Search
Search collections:
Sort by: Display results: Output format:
National Repository of Grey Literature 1 records found  Search took 0.01 seconds. 
Images of Typical Continuous Functions
 Nešvera, Michal ; Vejnar, Benjamin (advisor) ; Holický, Petr (referee)
It follows from the Baire theorem that comeagre sets in complete metric spaces are "topologically large". Properties that are satisfied by a large set are called typical. The proofs of statements concerning typical properties of continuous functions are the main part of this work. For this purpose, the necessary definitions are introduced in the first chapter and the completeness of spaces of continuous functions is proved. As the first example of a typical property, in the second chapter we prove the Banach-Mazurkiewicz theorem, which states that non-differentiability is a typical property. The third chapter of this thesis is devoted to the study of typical properties of continuous mappings of the unit interval into the plane. In the last chapter, statements regarding the typical properties of continuous mappings of the unit interval into Euclidean spaces of higher dimensions are proved. 1
Detailed record

Interested in being notified about new results for this query?
Subscribe to the RSS feed.
Digital Repository :: Search :: Submit :: Personalize :: Help
Powered by Invenio v1.1.2
Maintained by admin.invenio@techlib.cz
This site is also available in the following languages:
Česky  English