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Zdeněk Frolík
Zdeněk Frolík (March 10, 1933 – May 3, 1989) was a Czech mathematician. His research interests included topology and functional analysis. In particular, his work concerned covering properties of topological spaces, ultrafilters, homogeneity, measures, uniform spaces. He was one of the founders of modern descriptive theory of sets and spaces. Two classes of topological spaces are given Frolík's name: the class P of all spaces X such that X \times Y is pseudocompact for every pseudocompact space Y, and the class C of all spaces X such that X \times Y is countably compact for every countably compact space Y. Frolík prepared his Ph.D. thesis under the supervision of Miroslav Katetov and Eduard Čech. on the |
Miroslav Katetov
{{disambiguation ...
Miroslav may refer to: * Miroslav (given name), a Slavic masculine given name * ''Young America'' (clipper) or ''Miroslav'', an Austrian clipper ship in the Transatlantic case oil trade * Miroslav (Znojmo District), a town in the Czech Republic See also * * Miroslava (other) * Mirosław (other) Mirosław may refer to: People *Mirosław (given name), a Polish given name of Slavic origin Places *Gmina Mirosławiec, an urban-rural gmina in Wałcz County, West Pomeranian Voivodeship, Poland *Mirosławice (other), several places ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles University Alumni
Charles is a masculine given name predominantly found in English and French speaking countries. It is from the French form ''Charles'' of the Proto-Germanic name (in runic alphabet) or ''*karilaz'' (in Latin alphabet), whose meaning was "free man". The Old English descendant of this word was '' Ċearl'' or ''Ċeorl'', as the name of King Cearl of Mercia, that disappeared after the Norman conquest of England. The name was notably borne by Charlemagne (Charles the Great), and was at the time Latinized as ''Karolus'' (as in ''Vita Karoli Magni''), later also as '' Carolus''. Etymology The name's etymology is a Common Germanic noun ''*karilaz'' meaning "free man", which survives in English as churl (James (wikt:Appendix:Proto-Indo-European/ǵerh₂-">ĝer-, where the ĝ is a palatal consonant, meaning "to rub; to be old; grain." An old man has been worn away and is now grey with age. In some Slavic languages, the name ''Drago (given name), Drago'' (and variants: ''Drago ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1989 Deaths
1989 was a turning point in political history with the " Revolutions of 1989" which ended communism in Eastern Bloc of Europe, starting in Poland and Hungary, with experiments in power-sharing coming to a head with the opening of the Berlin Wall in November, the Velvet Revolution in Czechoslovakia and the overthrow of the communist dictatorship in Romania in December; the movement ended in December 1991 with the dissolution of the Soviet Union. Revolutions against communist governments in Eastern Europe mainly succeeded, but the year also saw the suppression by the Chinese government of the 1989 Tiananmen Square protests in Beijing. It was the year of the first Brazilian direct presidential election in 29 years, since the end of the military government in 1985 that ruled the country for more than twenty years, and marked the redemocratization process's final point. F. W. de Klerk was elected as State President of South Africa, and his regime gradually dismantled th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1933 Births
Events January * January 11 – Australian aviator Sir Charles Kingsford Smith makes the first commercial flight between Australia and New Zealand. * January 17 – The United States Congress votes in favour of Philippines independence, against the wishes of U.S. President Herbert Hoover. * January 28 – "Pakistan Declaration": Choudhry Rahmat Ali publishes (in Cambridge, UK) a pamphlet entitled ''Now or Never; Are We to Live or Perish Forever?'', in which he calls for the creation of a Muslim state in northwest India that he calls "Pakistan, Pakstan"; this influences the Pakistan Movement. * January 30 ** Nazi Party leader Adolf Hitler is appointed Chancellor of Germany (German Reich), Chancellor of Germany by President of Germany Paul von Hindenburg. ** Édouard Daladier forms a government in France in succession to Joseph Paul-Boncour. He is succeeded on October 26 by Albert Sarraut and on November 26 by Camille Chautemps. February * February 1 – Adolf Hitle ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wijsman Convergence
Wijsman convergence is a variation of Hausdorff convergence suitable for work with unbounded sets. Intuitively, Wijsman convergence is to convergence in the Hausdorff metric as pointwise convergence is to uniform convergence. History The convergence was defined by Robert Wijsman. The same definition was used earlier by Zdeněk Frolík.Z. Frolík, Concerning topological convergence of sets, Czechoskovak Math. J. 10 (1960), 168–180 Yet earlier, Hausdorff in his book '' Grundzüge der Mengenlehre'' defined so called ''closed limits''; for proper metric spaces it is the same as Wijsman convergence. Definition Let (''X'', ''d'') be a metric space and let Cl(''X'') denote the collection of all ''d''-closed subsets of ''X''. For a point ''x'' ∈ ''X'' and a set ''A'' ∈ Cl(''X''), set :d(x, A) = \inf_ d(x, a). A sequence (or net) of sets ''A''''i'' ∈ Cl(''X'') is said to be Wijsman convergent to ''A'' ∈ Cl(''X'') if, for each ''x ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proceedings Of The USSR Academy Of Sciences
The ''Proceedings of the USSR Academy of Sciences'' (, ''Doklady Akademii Nauk SSSR'' (''DAN SSSR''), ) was a Soviet journal that was dedicated to publishing original, academic research papers in physics, mathematics, chemistry, geology, and biology. It was first published in 1933 and ended in 1992 with volume 322, issue 3. Today, it is continued by ''Doklady Akademii Nauk'' (), which began publication in 1992. The journal is also known as the ''Proceedings of the Russian Academy of Sciences (RAS)''. ''Doklady'' has had a complicated publication and translation history. A number of translation journals exist which publish selected articles from the original by subject section; these are listed below. The journal is indexed in Russian Science Citation Index. History The Russian Academy of Sciences dates from 1724, with a continuous series of variously named publications dating from 1726. ''Doklady Akademii Nauk SSSR-Comptes Rendus de l'Académie des Sciences de l'URSS, Seriya ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Genealogy Project
The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. it contained information on 300,152 mathematical scientists who contributed to research-level mathematics. For a typical mathematician, the project entry includes graduation year, thesis title (in its Mathematics Subject Classification), '' alma mater'', doctoral advisor, and doctoral students.. Origin of the database The project grew out of founder Harry Coonce's desire to know the name of his advisor's advisor.. Coonce was Professor of Mathematics at Minnesota State University, Mankato, at the time of the project's founding, and the project went online there in the autumn of 1997.Mulcahy, Colm;The Mathematics Genealogy Project Comes of Age at Twenty-one(PDF) AMS Notices (May 2017) Coonce retired from Mankato in 1999, and in the autumn of 2002 the university decided that it would no longer support the project. The project relocated at that time to North Dakota State ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eduard Čech
Eduard Čech (; 29 June 1893 – 15 March 1960) was a Czech mathematician. His research interests included projective differential geometry and topology. He is especially known for the technique known as Stone–Čech compactification (in topology) and the notion of Čech cohomology. He was the first to publish a proof of Tychonoff's theorem in 1937. Biography He was born in Stračov, then in Bohemia, Austria-Hungary, now in the Czech Republic. His father was Čeněk Čech, a policeman, and his mother was Anna Kleplová. After attending the gymnasium in Hradec Králové, Čech was admitted to the Philosophy Faculty of Charles University of Prague in 1912. In 1915 he was drafted into the Austro-Hungarian Army and participated in World War I, after which he completed his undergraduate degree in 1918. He received his doctoral degree in 1920 at Charles University; his thesis, titled ''On Curves and Plane Elements of the Third Order'', was written under the direction of Karel Pe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
North-Holland Publishing Company
Elsevier ( ) is a Dutch academic publishing company specializing in scientific, technical, and medical content. Its products include journals such as ''The Lancet'', '' Cell'', the ScienceDirect collection of electronic journals, '' Trends'', the '' Current Opinion'' series, the online citation database Scopus, the SciVal tool for measuring research performance, the ClinicalKey search engine for clinicians, and the ClinicalPath evidence-based cancer care service. Elsevier's products and services include digital tools for data management, instruction, research analytics, and assessment. Elsevier is part of the RELX Group, known until 2015 as Reed Elsevier, a publicly traded company. According to RELX reports, in 2022 Elsevier published more than 600,000 articles annually in over 2,800 journals. As of 2018, its archives contained over 17 million documents and 40,000 e-books, with over one billion annual downloads. Researchers have criticized Elsevier for its high profit margins an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czech People
The Czechs (, ; singular Czech, masculine: ''Čech'' , singular feminine: ''Češka'' ), or the Czech people (), are a West Slavic ethnic group and a nation native to the Czech Republic in Central Europe, who share a common ancestry, culture, history, and the Czech language. Ethnic Czechs were called Bohemians in English until the early 20th century, referring to the former name of their country, Bohemia, which in turn was adapted from the late Iron Age tribe of Celtic Boii. During the Migration Period, West Slavic tribes settled in the area, "assimilated the remaining Celtic and Germanic populations", and formed a principality in the 9th century, which was initially part of Great Moravia, in form of Duchy of Bohemia and later Kingdom of Bohemia, the predecessors of the modern republic. The Czech diaspora is found in notable numbers in the United States, Germany, Canada, Slovakia, Austria, the United Kingdom, Argentina, Australia, Switzerland, France, Russia, Italy, Is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
