• a terminal object (also called terminal element): T is terminal if for every object X in C there exists exactly one morphism X → T. Initial objects are...
    11 KB (1,336 words) - 16:25, 21 January 2024
  • Thumbnail for Universal property
    described more concisely as initial and terminal objects in a comma category (i.e. one where morphisms are seen as objects in their own right). Let F :...
    24 KB (3,936 words) - 02:15, 26 February 2024
  • Outline of category theory (category Outlines of mathematics and logic)
    Category of magmas Initial object Terminal object Zero object Subobject Group object Magma object Natural number object Exponential object Epimorphism Monomorphism...
    5 KB (402 words) - 15:20, 29 March 2024
  • Thumbnail for Greatest element and least element
    supremum and essential infimum Initial and terminal objects Maximal and minimal elements Limit superior and limit inferior (infimum limit) Upper and lower...
    17 KB (2,870 words) - 17:45, 2 June 2024
  • any other zeros are considered to be non-trivial. Degeneracy Initial and terminal objects List of mathematical jargon Pathological Trivialism Trivial measure...
    11 KB (1,593 words) - 16:20, 12 August 2024
  • 0o, or zero object, a mathematics term for a simultaneously initial and terminal object 0O, also ZO, an abbreviation for zero order Zero-order hold,...
    1 KB (185 words) - 17:08, 20 October 2023
  • absorbing element, and whose principal ideal is the smallest ideal. A zero object in a category is both an initial and terminal object (and so an identity...
    8 KB (1,102 words) - 05:13, 13 August 2024
  • colimits. The zero ring serves as both an initial and terminal object in Rng (that is, it is a zero object). It follows that Rng, like Grp but unlike...
    14 KB (1,814 words) - 01:52, 26 March 2024
  • the absence of other forces, objects and people will experience weightlessness in these situations. Examples of objects not in free-fall: Flying in an...
    17 KB (2,630 words) - 20:34, 1 September 2024
  • represented by certain decorated framed tangle diagrams, where the initial and terminal objects are represented by the boundary components of the tangle. In...
    9 KB (1,657 words) - 04:25, 10 July 2024