Statements (70)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Hendrik_Brouwer
gptkb:Poincaré_conjecture |
| gptkbp:applies_to |
continuous functions
compact convex sets |
| gptkbp:has_impact_on |
nonlinear analysis
|
| gptkbp:has_programs |
gptkb:Mathematician
|
| gptkbp:historical_debate |
topological methods
|
| https://www.w3.org/2000/01/rdf-schema#label |
Brouwer fixed-point theorem
|
| gptkbp:is_aresource_for |
gptkb:musician
gptkb:physicist gptkb:military_officer gptkb:political_movement gptkb:battle gptkb:collection gptkb:technique gptkb:currency geometry statistics theoretical computer science mathematical physics information theory algebraic topology bioinformatics graph theory mathematical analysis mathematical logic network theory probability theory biostatistics functional analysis numerical analysis social choice theory control theory functional equations real analysis chaos theory stochastic processes complex analysis applied mathematics mathematical sociology optimization theory computational geometry computational biology biophysics mathematical economics differential topology mathematical biology dynamical systems theory biomathematics mathematical ecology mathematical psychology mathematical anthropology combinatorial topology mathematical linguistics mathematical neuroscience mathematical epidemiology mathematical genetics |
| gptkbp:is_fundamental_to |
gptkb:television_channel
|
| gptkbp:is_related_to |
gptkb:Sperner's_lemma
fixed-point theory |
| gptkbp:is_represented_in |
Euclidean space
|
| gptkbp:is_used_in |
gptkb:computer_science
gptkb:battle economics dynamical systems |
| gptkbp:named_after |
gptkb:Luitzen_Egbertus_Jan_Brouwer
|
| gptkbp:state |
every continuous function from a convex compact set to itself has a fixed point
|
| gptkbp:was_akey_figure_in |
fixed-point theory
|