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Thus ({text {Coalg}}(mathcal {C},Phi )) has a universal property similar to that of Definition 4.19, and can be thought of as a certain 2-limit in the category of categories.
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Category theory reveals that many of these constructions are in fact certain objects in a category having a "universal property".
"He has a universal face.
It has a universal appeal.
"It has a universal, almost timeless, appeal".
Canada has a universal healthcare system.
Multiple authors have suggested that homochirality may be a universal property of life (Cohen, 1995; Toxvaerd, 2009), as it may be a necessity for self-replication (Popa, 2004).
Errors in regulation cause uncontrolled cell proliferation, a universal property of tumors.
The nuclear pudding, as strange as it is, has a simple structure and could turn out to be a universal property of nuclei speeding at high energies, Dr. Kharzeev said.
One theory regards mind as a universal property of matter.
Finally I presented the naive view that existence is a universal property of individuals.
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