Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorDmitri Pavlov
   • CommentTimeAug 12th 2021
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexRewrote: *** Eduard Čech was a Czech mathematician. He got his PhD degree in 1920 from Charles University in Prague, advised by Karel Petr. He was the first one to define [[homotopy groups]] (unpublished). (An apocryphal story told about this is that [[Paul Alexandroff]] expressed skepticism that these new invariants could be anything but [[homology groups]] since they were abelian.) He is also known for [[Čech methods]] in [[homotopy theory]], further developing the [[nerve of an open cover]] construction by [[Paul Alexandroff]]. * [English Wikipedia page](http://en.wikipedia.org/wiki/Eduard_%C4%8Cech) * [MacTutor biography](http://www-history.mcs.st-andrews.ac.uk/Biographies/Cech.html) His PhD students include [[Petr Vopěnka]], [[Věra Trnková]], and many others. *** <a href="https://ncatlab.org/nlab/revision/diff/Eduard+%C4%8Cech/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Eduard+%C4%8Cech/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Eduard+%C4%8Cech">current</a>

   Rewrote:

   ---

   Eduard Čech was a Czech mathematician.

   He got his PhD degree in 1920 from Charles University in Prague, advised by Karel Petr.

   He was the first one to define homotopy groups (unpublished). (An apocryphal story told about this is that Paul Alexandroff expressed skepticism that these new invariants could be anything but homology groups since they were abelian.)

   He is also known for Čech methods in homotopy theory, further developing the nerve of an open cover construction by Paul Alexandroff.

   • English Wikipedia page
   • MacTutor biography

   His PhD students include Petr Vopěnka, Věra Trnková, and many others.

   ---

   diff, v6, current