Název: Homogenita topologických struktur
Překlad názvu: Homogeneity of topological structures
Autoři: Vejnar, Benjamin ; Hušek, Miroslav (vedoucí práce) ; Pyrih, Pavel (oponent)
Typ dokumentu: Diplomové práce
Rok: 2009
Jazyk: eng
Abstrakt: In the present work we study those compacti cations such that every autohomeomorphism of the base space can be continuously extended over the compacti cation. These are called H-compacti cations. We characterize them by several equivalent conditions and we prove that H-compacti cations of a given space form a complete upper semilattice which is a complete lattice when the given space is supposed to be locally compact. Next, we describe all H-compacti cations of discrete spaces as well as of countable locally compact spaces. It is shown that the only H-compacti cations of Euclidean spaces of dimension at least two are one-point compacti cation and the Cech-Stone compacti cation. Further we get that there are exactly 11 H-compacti cations of a countable sum of Euclidean spaces of dimension at least two and that there are exactly 26 H-compacti cations of a countable sum of real lines. These are all described and a Hasse diagram of a lattice they form is given.

Instituce: Fakulty UK (VŠKP) (web)
Informace o dostupnosti dokumentu: Dostupné v digitálním repozitáři UK.
Původní záznam: http://hdl.handle.net/20.500.11956/23307

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-494784


Záznam je zařazen do těchto sbírek:
Školství > Veřejné vysoké školy > Univerzita Karlova > Fakulty UK (VŠKP)
Vysokoškolské kvalifikační práce > Diplomové práce