On iterated dualizations of topological spaces and structures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F02%3APU30314" target="_blank" >RIV/00216305:26220/02:PU30314 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
On iterated dualizations of topological spaces and structures
Original language description
Recall that a topology $tau^d$ is said to be dual with respect to the topology $tau$ on a set $X$ if $tau^d$ has a closed base consisted of the compact saturated sets in $tau$. In the well-known book{it Open Problems in Topology}, edited by J. van Mill and G. M. Reed, there was stated (among many others, no less interesting problems) a problem no. 540 of J. D. Lawson and M. Mislove: {it Does the process of iterating duals of a topology terminate by two topologies, dual to each other (19900, cite{LM})?} In this paper we will present some recent results related to iterated dualizations of topological spaces (one of them yields the above mentioned identity $tau^{dd}=tau^{dddd}$ as an immediate consequence), ask what happens with the dualizationsif we leave the realm of spatiality and mention some unsolved problems related to dual topologies.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/GA201%2F00%2F1466" target="_blank" >GA201/00/1466: Continuous and set-theoretical methods in topological and algebraic structures</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Abstracts of the Workshop on Topology in Computer Science
ISBN
—
ISSN
—
e-ISSN
—
Number of pages
2
Pages from-to
11-12
Publisher name
City College, City University of New York
Place of publication
New York, Spojené státy americké
Event location
New York
Event date
May 3, 2002
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—