hausdorff maximality theorem

The Hausdorff maximality theorem, formulated and proved by Felix Hausdorff in 1914, is an alternate formulation of Zorn's lemma and therefore also equivalent to the axiom of choice. It states that in any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset (i.e. in a totally ordered subset which, if enlarged in any way, does not remain totally ordered). In general, there are many maximal totally ordered subsets containing a given totally ordered subset.

<< Previous

Word Browser

Next >>

hadrian
herman melville
high fidelity
holden
hank greenberg
heinrich schliemann
hypnos
haskell programming language
holy orders
homer
hunt the pixel

hugo gernsback
history of computing hardware
hausdorff space
heat
hawkwind
horse
hermann ebbinghaus
home internet solution
hindi
hugin and munin
heat engine

heimdall
house of lords
homeomorphism
hvergelmir
hel (goddess)
hawar islands
halting problem
hans dietrich genscher
henry ainsworth
hernando de alarcn
hakka cuisine

hunan cuisine
hyperinflation
herbert hoover
hildegard of bingen
hilversum
hound of heaven
history of the internet
horace
history of microsoft windows
helsinki
hunter scott