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Category vs Solely - What's the difference?

category | solely |

As a noun category

is a group, often named or numbered, to which items are assigned based on similarity or defined criteria.

As an adverb solely is

alone; exclusively.

category

Noun

(categories)
  • A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
  • *
  • The traditional way of describing the similarities and differences between constituents is to say that they belong to categories'' of various types. Thus, words like ''boy'', ''girl'', ''man'', ''woman'', etc. are traditionally said to belong to the category''' of Nouns, whereas words like ''a'', ''the'', ''this'', and ''that'' are traditionally said to belong to the ' category of Determiners.
    This steep and dangerous climb belongs to the most difficult category .
    I wouldn't put this book in the same category as the author's first novel.
  • (mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
  • One well-known category has sets as objects and functions as arrows.
    Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.

    Synonyms

    * (group to which items are assigned) class, family, genus, group, kingdom, order, phylum, race, tribe, type * See also

    Derived terms

    * category mistake * category theory * conceptual category * perceptual category * subcategory * supercategory

    solely

    English

    Adverb

    (-)
  • Alone; exclusively.
  • The new chef was solely responsible for attending the grill.
  • * {{quote-news, year=2012, date=November 20, author=Nina Bernstein, title=Storm Bared a Lack of Options for the Homeless in New York, work=New York Times citation
  • , passage=This week, officials closed all evacuation centers but two on Staten Island. Now they plan to rely solely on hotels, even as they brace for a new wave of people displaced from storm-damaged housing where they are facing winter without heat or hot water.}}