Steinhaus– Borsuk– Lebesgue– Kuratowski– Zorn theorem

GPTKB entity

Statements (55)
Predicate Object
gptkbp:instance_of gptkb:theorem
gptkbp:bfsLayer 5
gptkbp:bfsParent gptkb:Hugo_Steinhaus
gptkbp:applies_to metric spaces
gptkbp:has_programs gptkb:computer_science
economics
physics
optimization
gptkbp:has_property gptkb:software
compactness
connectedness
completeness
gptkbp:historical_debate gptkb:Kuratowski's_theorem
gptkb:Zorn's_lemma
Borsuk's theorem
Lebesgue's theorem
https://www.w3.org/2000/01/rdf-schema#label Steinhaus– Borsuk– Lebesgue– Kuratowski– Zorn theorem
gptkbp:is_considered fundamental theorem
cornerstone of set theory
cornerstone of topology
important result
gptkbp:is_discussed_in gptkb:academic_conferences
gptkb:book
research papers
mathematical journals
gptkbp:is_part_of abstract algebra
mathematical logic
real analysis
gptkbp:is_related_to gptkb:Zorn's_lemma
gptkb:Lebesgue_measure
topological spaces
axiomatic set theory
functional spaces
functional equations
general topology
Banach spaces
Hilbert spaces
convex sets
convex analysis
Hausdorff spaces
normed spaces
measure spaces
Borsuk's theorem
Kuratowski's closure theorem
Lebesgue's dominated convergence theorem
linear spaces
gptkbp:is_used_in gptkb:physicist
functional analysis
gptkbp:named_after gptkb:Hugo_Steinhaus
Czesław Kuratowski
Gottlob Frege Zorn
Henri Lébesgue
Karol Borsuk
gptkbp:related_to gptkb:television_channel
gptkb:collection