Properties
Compact closed categories are *-autonomous, with the dual of the monoidal unit as the dualizing object, but *-autonomous categories need not to be compact closed: is not necessarily a dual of . However, if in a *-autonomous category we have
- .
for each pair (A,B) of objects, then the category is compact closed.
Read more about this topic: *-autonomous Category
Famous quotes containing the word properties:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)