Eduard Čech

Eduard Čech at the First International Topology conference in Moscow, 1935

Eduard Čech (Czech: [ˈɛduart ˈtʃɛx]; 29 June 1893 – 15 March 1960) was a Czech mathematician born in Stračov (then Bohemia, Austria-Hungary, now Czech Republic). 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.

He received his doctoral degree in 1920 at Charles University, Prague with Karel Petr as advisor. In 1921–1922 he collaborated with Guido Fubini in Turin, Italy. He taught at Masaryk University in Brno and at Charles University. Ivo Babuška, Vlastimil Dlab, Zdeněk Frolík, Věra Trnková and Petr Vopěnka have been doctoral students of Čech.

He attended the First International Topological Conference held in Moscow 4-10 September 1935. He made two presentations there: "Accessibility and homology" and "Betti groups with different coefficient groups".

He died in Prague in 1960.

Publications

• Čech, E. (1935), "Les groupes de Betti d'un complexe infini", Fundamenta Mathematicae, 25 (1): 33–44, doi:10.4064/fm-25-1-33-44
• Čech, E. (1936), "Multiplications on a complex", Ann. of Math., 37 (3): 681–697, doi:10.2307/1968483, hdl:10338.dmlcz/501047, JSTOR 1968483
• Čech, E. (1937), "On bicompact spaces", Ann. of Math., 38 (4): 823–844, doi:10.2307/1968839, hdl:10338.dmlcz/100459, JSTOR 1968839

See also

• Čech closure operator
• Čech cohomology
• Stone–Čech compactification
• Tychonoff's theorem

External links

• O'Connor, John J.; Robertson, Edmund F., "Eduard Čech", MacTutor History of Mathematics Archive, University of St Andrews
• List of publications from Czech Digital Mathematics Library