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We found one dictionary that defines the word supercompact:

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  1. supercompact: Wiktionary

Definitions from Wiktionary (supercompact)

adjective:  Very compact.
adjective:  (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.
adjective:  (mathematics, set theory) Being a type of large cardinal with a variety of reflection properties.

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