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Title Bohr compactifications of algebras and structures Author info B. A. Davey, M. Haviar, H. A. Priestley Author Davey Brian A. (34%)
Co-authors Haviar Miroslav 1965- (33%) UMBFP10 - Katedra matematiky
Priestley Hilary A. (33%)
Source document Applied Categorical Structures. Vol. 25, no. 3 (2017), pp. 403-430. - Dordrecht : Springer, 2017 Person keywords Bohr Niels dánsky fyzik 1885-1962 Keywords natural duality natural extension distributive lattices Stone-Čechova kompaktifikácia - Stone-Čech compactification Language English Country Netherlands systematics 51 Annotation This paper provides a unifying framework for a range of categorical constructions characterised by universal mapping properties, within the realm of compactifications of discrete structures. Some classic examples fit within this broad picture: the Bohr compactification of an abelian group via Pontryagin duality, the zero-dimensional Bohr compactification of a semilattice, and the Nachbin order-compactification of an ordered set. The notion of a natural extension functor is extended to suitable categories of structures and such a functor is shown to yield a reflection into an associated category of topological structures. Our principal results address reconciliation of the natural extension with the Bohr compactification or its zero-dimensional variant. In certain cases the natural extension functor and a Bohr compactification functor are the same; in others the functors have different codomains but may agree on all objects. Coincidence in the stronger sense occurs in the zero-dimensional setting precisely when the domain is a category of structures whose associated topological prevariety is standard. It occurs, in the weaker sense only, for the class of ordered sets and, as we show, also for infinitely many classes of ordered structures. Coincidence results aid understanding of Bohr-type compactifications, which are defined abstractly. Ideas from natural duality theory lead to an explicit description of the natural extension which is particularly amenable for any prevariety of algebras with a finite, dualisable, generator. Examples of such classes-often varieties-are plentiful and varied, and in many cases the associated topological prevariety is standard. Public work category ADM No. of Archival Copy 39736 Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Abel's Proof Subtitle An Essay on the Sources and Meaning of Mathematical Unsolvability Author info Peter Pesic Author Pesic Peter
Issue data Cambridge : The Mit Press , c2003. - viii, 212 s., 20 cm Issue [1st ed.] ISBN 0-262-66182-9 Note Bibliogr. odkazy. Register Person keywords Abel Niels Henrik nór. matematik 1802-1829 Keywords algebra - algebra abelovské funkcie Language English Country United States of America systematics 512.742=111 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 
book
Call number Location Sublocation Umiestnenie Info 288181 Univerzita Mateja Bela Department of mathematics In-Library Use Only Title Niels Bohr collected works 8 Subtitle The penetration of charged particles throough matter Author info Erik Rüdinger Author Rüdinger Erik
Issue data Amsterdam : North-Holland , 1987. - 838 s. Issue 1st ed. ISBN 0-444-87003-2 Person keywords Bohr Niels 1885-1962. - fyzik dánsky Keywords fyzika - physics častice a hmota vedecký výskum - vedecké výskumy - scientific research Language English Country Netherlands systematics 539.12=111 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 book
Call number Location Sublocation Umiestnenie Info 218167 Univerzita Mateja Bela Department of physics In-Library Use Only Title Niels Bohr Subtitle jeho dielo a život Author info Daniil Danin; [preložila Tatiana Medeková] Author Danin Daniil Semenovič
Another authors Medeková Tatiana (Translator)
Issue data Bratislava : Alfa , 1987. - 95 s. Issue 1. vyd. Person keywords Bohr Niels dánsky fyzik 1885-1962 Keywords významné osobnosti biografie - biography Language Slovak Country -CS systematics 53:929=111 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 book
Call number Location Sublocation Umiestnenie Info 181820 Univerzita Mateja Bela Department of chemistry In-Library Use Only Title Niels Bohr coollected woorks 9. Nuclear physics Author info Erik Rüdinger Author Rüdinger Erik
Issue data Amsterdam : North-Holland , 1986. - 693 s. Issue 1st ed. ISBN 0-444-86929-8 Person keywords Bohr Niels dánsky fyzik 1885-1962 Keywords nukleárne výskumy fyzika - physics Language English Country Netherlands systematics 539.1=20 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 book
Call number Location Sublocation Umiestnenie Info 218168 Univerzita Mateja Bela Department of physics In-Library Use Only Title Niels Bohr Subtitle His life and work as seen by his friends and colleaques Author info Stefan Rozental Author Rozental Stefan
Issue data Amsterdam : North-Holland , 1985. - 355 s. Issue 1. ed. ISBN 0-444-86977-8 Person keywords Bohr Niels 1885-1962. - fyzik dánsky Keywords významné osobnosti biografie - biography Language English Country United States of America systematics 53:929=111 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 1 book
Call number Location Sublocation Umiestnenie Info 218220 Univerzita Mateja Bela Department of absent lending Title Zamečateľnyj matematik Subtitle Niľs Chenrik Abeľ Author info O. Ore; perevod Ju. S. Rodman Author Ore Oystein
Another authors Rodman Ju. S. (Translator)
Issue data Moskva : Gosudarstvennoje izdateľstvo fiziko-matematičeskoj literatury , 1961. - 339 s. Issue 1-oe izd. Person keywords Abel Niels Henrik nór. matematik 1802-1829 Keywords matematika - mathematics Language Russian Country Russian Federation systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 book
Call number Location Sublocation Umiestnenie Info 52666 Univerzita Mateja Bela Department of mathematics In-Library Use Only