On Mutual Compactificability and Compactificability Classes

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F96%3APU22433" target="_blank" >RIV/00216305:26220/96:PU22433 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

On Mutual Compactificability and Compactificability Classes

Original language description

abstract Conceived intuitively, various topological spaces undoubtedly have different degrees of ``compactness'' or ``non-compactness''. But how to practically determine whether some space is more non-compact than the other? In this work the maincriterion of the ``level of non-compactness'' of a topological space $X$ is its ability to form, together with another space $Y$, a compact space $K=Xcup Y$ such that the points of $X$ are in $K$ separated from the points of $Y$ by disjoint open nei ighbourhoods. Noticing that the existence of such topology on $K$ implies $theta$-regularity of both $X$ and $Y$, at the background of these considerations lies the idea to imagine the compact space as a box of bricks or jigsaw puzzle where ``bricks'' or ``pieces'' are certain $theta$-regular spaces. The principal problem is which ``pieces'' are so compatible that they together can create some compact space. For simplicity, accepting the jigsaw model, in this work we will deal with puzzles

Czech name

Vzájemná kompaktifikovatelnost a třídy vzájemné kompaktifikovatelnosti.

Czech description

Intuitivně chápáno, různé nekompaktní topologické prostory mají různý stupeň "nekompaktnosti". V této práci zkoumáme schopnost topologického prostoru X vytvořit s jiným, disjunktním topologickým prostorem Y kompaktní prostor, v němž dva různé body z nichž jeden leží v X a druhý v Y mají disjunktní okolí.

Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA201%2F97%2F0216" target="_blank" >GA201/97/0216: Mappings and covering properties of topological structures</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

1996

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of the Eighth Prague Topological Symposium

ISBN

—

ISSN

—

e-ISSN

—

Number of pages

5

Pages from-to

173-177

Publisher name

Topology Atlas

Place of publication

—

Event location

Praha

Event date

Aug 19, 1996

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

—