Steinhaus– Borsuk– Lebesgue– Zorn theorem

GPTKB entity

Statements (56)
Predicate Object
gptkbp:instance_of gptkb:theorem
gptkbp:bfsLayer 5
gptkbp:bfsParent gptkb:Hugo_Steinhaus
gptkbp:applies_to compact spaces
convex sets
gptkbp:field gptkb:Mathematician
gptkbp:has_impact_on gptkb:software
compactness
connectedness
dimension theory
gptkbp:has_programs gptkb:Research_Institute
geometry
topological spaces
combinatorics
gptkbp:historical_debate existence of certain partitions
https://www.w3.org/2000/01/rdf-schema#label Steinhaus– Borsuk– Lebesgue– Zorn theorem
gptkbp:is_considered mathematical research
gptkbp:is_discussed_in academic papers
mathematical textbooks
gptkbp:is_part_of gptkb:physicist
functional analysis
convex analysis
set-theoretic topology
topological geometry
gptkbp:is_related_to topological groups
functional spaces
metric spaces
Banach spaces
Hilbert spaces
convex hulls
finite-dimensional spaces
Hausdorff spaces
normed spaces
topological vector spaces
Borsuk's conjecture
Lebesgue's dominated convergence theorem
Zorn's lemma applications
infinite-dimensional spaces
gptkbp:is_used_in abstract algebra
mathematical logic
mathematical proofs
theoretical mathematics
applied mathematics
proofs of other theorems
gptkbp:named_after gptkb:Hugo_Steinhaus
Gottlob Frege Zorn
Henri Lébesgue
Karol Borsuk
gptkbp:related_to gptkb:physicist
gptkb:television_channel
gptkb:collection
functional analysis
Borsuk– Ulam theorem
gptkbp:uses gptkb:Zorn's_lemma
gptkb:Lebesgue_measure
Borsuk's theorem