Examples of using Cech in Danish and their translations into English
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To år senere Cech forlænget hans arbejde med homology til lokale homology.
På den internationale kongres af Matematikere i Zürich i 1932, Cech indført begrebet højere Homotopiteori grupper af et mellemrum.
At the International Congress of Mathematicians in Zurich in 1932, Cech introduced the notion of higher homotopy groups of a space.Cech blev udnævnt til ekstraordinær professor ved Masaryk-universitetet i 1923.
Cech was appointed extraordinary professor at Masaryk University in 1923.ATTENTION- Automatisk oversættelse fra engelsk version Eduard Cech's far var Cenek Cech, en politifolk, og hans mor var Anna Kleplova.
Eduard Cech's father was Cenek Cech, a policemen, and his mother was Anna Kleplova.Cech fortolkning blev et meget vigtigt redskab for generel topologi og også af nogle grene af funktionelle analyse.
Cech's interpretation became a very important tool of general topology and also of some branches of functional analysis.
I 1945, efter afslutningen af Anden Verdenskrig, Cech returneres til Charles University i Prag og begyndte en administrativ karriere.
In 1945, after the end of World War II, Cech returned to the Charles University of Prague and began an administrative career.Cech var interesseret i geometri men han blev udnævnt til formand for analyse ved Masaryk-universitetet, da denne var blevet Lerch's formand.
Cech was interested in geometry but he was appointed to the chair of analysis at Masaryk University since this had been Lerch 's chair.I dette papir,som introducerer emnet som i dag kaldes Cech homology teori, Cech også indført begrebet omvendt grænse.
In this paper,which introduces the topic which today is called the Cech homology theory, Cech also introduced the notion of the inverse limit.Allerede Cech blev studere matematiske tekster, som var meget mere avancerede end det niveau af hans kurser og han brugte meget tid i Matematik bibliotek.
Already Cech was studying mathematical texts which were much more advanced than the level of his courses and he spent much time in the Mathematics library.Gennem hans udvide matematiske interesser,til en vis grad tvunget ham ved hans pædagogiske opgaver, Cech blev interesseret i topologi, især blev han en af de førende eksperter i kombinatorisk topologi.
Through his widening mathematical interests,to some extent forced on him by his teaching duties, Cech became interested in topology, in particular he became one of the foremost experts on combinatorial topology.Cech blev påvirket af arbejdet i Aleksandrov og Urysohn og han nedsat en topologi seminar på Brno i 1936, som fortsatte med at producere 26 papirer i 3 år.
Cech was influenced by the work of Aleksandrov and Urysohn and he set up a topology seminar at Brno in 1936 which went on to produce 26 papers in 3 years.Blandt mange andre vigtige resultater viste han, at Cech og Vietoris homology grupper er sammenfaldende, for den almene rum, som gør det Cech og Alexander cohomology grupper.
Among many other important results he showed that the Cech and Vietoris homology groups coincide, for general spaces, as do the Cech and Alexander cohomology groups.Cech dog forsøgt at fortsætte arbejdet i hans seminar trods krigen, og det fortsatte med at mødes på den flade af B Pospisl, en af hans studerende, indtil 1941.
Cech, however, tried to continue the work of his seminar despite the War and it continued to meet at the flat of B Pospisl, one of his students, until 1941.
På bicompact mellemrum undersøgt visse topologiske rum som Tikhonov havde indført i 1930, og: Cech fortolkning blev et meget vigtigt redskab for generel topologi og også af nogle grene af funktionelle analyse.
On bicompact spaces investigated certain topological spaces which Tikhonov had introduced in 1930 and: Cech's interpretation became a very important tool of general topology and also of some branches of functional analysis.Cech tilbragte tre år i hæren, men de var ikke helt spildt så langt som hans akademiske studier var bekymrede for han benyttede lejligheden til at lære italiensk, tysk og russisk.
Cech spent three years in the army, but they were not totally wasted as far as his academic studies were concerned for he took the opportunity to learn Italian, German and Russian.Byens myndigheder blev blandt andet beskyldt for de hyppige ulovlige procedurer der fandt sted fra Cech Taxi Prag, hvis aktiviteter også omfattede selvstændige taxichauffører, der driver deres egne biler, og også af Jiří Kvasnička, ejeren af AAA Radiotaxi Ltd.
Among others, the city authorities were blamed for incorrect and often illegal procedures by Cech Taxi Prague, whose activities also covered self-employed taxi drivers operating their own cars, and also by Jiří Kvasnička, the owner of AAA Radiotaxi s.r.Cech studeret der mellem 1921 og 1922, og han tydeligt imponeret Fubini der bad ham om at samarbejde med ham i fælles projekt at skrive en monografi om Projektiv Differentialgeometri.
Cech studied there between 1921 and 1922 and he clearly impressed Fubini who asked him to cooperate with him in joint project to write a monograph on projective differential geometry.Hans undersøgelser blev afbrudt af Første Verdenskrig, og selv om han var i stand til at afslutte tre års studier,han blev udarbejdet i det østrig-ungarske hær i 1915. Cech tilbragte tre år i hæren, men de var ikke helt spildt så langt som hans akademiske studier var bekymrede for han benyttede lejligheden til at lære italiensk, tysk og russisk.
His studies were interrupted by World War I and, although he was able to complete three years of study,he was drafted into the Austro-Hungarian army in 1915. Cech spent three years in the army, but they were not totally wasted as far as his academic studies were concerned for he took the opportunity to learn Italian, German and Russian.På trods af de vanskeligheder, som Cech opstod under Anden Verdenskrig, han gjorde tilbringer megen tid arbejdet på sin bog topologiske rum, som han senere skrev og offentliggjort i 1959.
Despite the difficulties which Cech encountered during World War II, he did spend much time working on his book Topological spaces which he later rewrote and published in 1959.Hans interesse i et nyt område for matematik, nemlig Projektiv Differentialgeometri, førte til hans første oplæg om emnet optræder i 1921 og i samme år, han har fået et legat fra ministeriet for uddannelse for at komme til Italien ogstudier med Fubini i Torino. Cech studeret der mellem 1921 og 1922, og han tydeligt imponeret Fubini der bad ham om at samarbejde med ham i fælles projekt at skrive en monografi om Projektiv Differentialgeometri.
His interest in a new area of mathematics, namely projective differential geometry, led to his first paper on the topic appearing in 1921 and, in the same year, he obtained a scholarship from the Ministry of Education to go to Italy andstudy with Fubini in Turin. Cech studied there between 1921 and 1922 and he clearly impressed Fubini who asked him to cooperate with him in joint project to write a monograph on projective differential geometry.Før starten af krigen Cech var begyndt at arrangere kurser for skolens lærere i Brno.
Before the start of the war Cech had begun to organise courses for school teachers in Brno.Cech blev direktør for Matematiske Research Institute i tjekkisk Academy of Sciences i 1947, direktør for den centrale Matematisk Institut i 1950, og direktøren for Det Tjekkiske Academy i 1952.
Cech became Director of the Mathematical Research Institute of the Czech Academy of Sciences in 1947, Director of the Central Mathematical Institute in 1950, and Director of the Czech Academy in 1952.Selvom geometri blev Cech's forskningsfelt, Cech måtte tage over kurser i analyse og algebra.
Although geometry was Cech's field of research, Cech had to take over courses in analysis and algebra.Cech's Brno seminar ophørte først, når den tjekkiske universiteter blev lukket i starten af Anden Verdenskrig. Cech dog forsøgt at fortsætte arbejdet i hans seminar trods krigen, og det fortsatte med at mødes på den flade af B Pospisl, en af hans studerende, indtil 1941.
Cech's Brno seminar only ended when the Czech universities were closed down at the start of World War II. Cech, however, tried to continue the work of his seminar despite the War and it continued to meet at the flat of B Pospisl, one of his students, until 1941.Efter at have forladt Italien i 1922, Cech skrev hans habilitationsprocedure tese, at blive en Docent ved Charles Universitetet i Prag.
After leaving Italy in 1922, Cech wrote his habilitation thesis, becoming a docent at the Charles University of Prague.På retsmødet Cech taler om hans resultater på en kombinatorisk topologi konference i Moskva, Lefschetz inviterede ham til at besøge Princeton og Cech foretaget besøget i løbet af sessionen 1935-36.
On hearing Cech talk about his results at a combinatorial topology conference in Moscow, Lefschetz invited him to visit Princeton and Cech made the visit during session 1935-36.Dette indlæg har ikke bære en løn, så Cech fortsatte med at undervise på de gymnasiale uddannelser i Prag for at tjene penge nok til at leve.
This post did not carry a salary, so Cech continued to teach in the secondary schools of Prague to earn enough money to live.Cech blev direktør for Matematiske Research Institute i tjekkisk Academy of Sciences i 1947, direktør for den centrale Matematisk Institut i 1950, og direktøren for Det Tjekkiske Academy i 1952. Men i dette år vendte han tilbage til Charles University i Prag i spidsen for nye Matematisk Institut dér.
Cech became Director of the Mathematical Research Institute of the Czech Academy of Sciences in 1947, Director of the Central Mathematical Institute in 1950, and Director of the Czech Academy in 1952. However in that year he returned to the Charles University of Prague to head the new Mathematical Institute there.Efter at have indhentet hans grad, Cech begyndte at undervise på gymnasier i Prag, men han fortsatte med at forske i matematik og fuldførte sin doktorgrad i 1920.
Having obtained his degree, Cech began to teach in secondary schools in Prague but he continued to undertake research in mathematics and completed his doctorate in 1920.Men Lerch døde i 1922 og muligheden opstod for Cech at vinde en stol og et permanent universitet posten. Cech blev udnævnt til ekstraordinær professor ved Masaryk-universitetet i 1923.
However, Lerch died in 1922 and the opportunity arose for Cech to gain a chair and a permanent university post. Cech was appointed extraordinary professor at Masaryk University in 1923.
