different between ultracompact vs supercompact

English

ultra- +? compact

ultracompact (not comparable)

super- +? compact

supercompact (comparative more supercompact, superlative most supercompact)

Very compact.
(mathematics, topology, of a topological space) Having a subbasis such that every open cover of the topological space from elements of the subbasis has a subcover with at most two subbasis elements.
(mathematics, set theory) Being a type of large cardinal with a variety of reflection properties.

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