Some articles on adjoint, upper adjoint:
Completeness (order Theory) - Completeness in Terms of Adjunctions
... certain suprema or infima provides left or right adjoint parts of suitable Galois connections ... X has a least element if and only if the function j has a lower adjoint j* 1 → X ... Dually, the existence of an upper adjoint for j is equivalent to X having a greatest element ...
... certain suprema or infima provides left or right adjoint parts of suitable Galois connections ... X has a least element if and only if the function j has a lower adjoint j* 1 → X ... Dually, the existence of an upper adjoint for j is equivalent to X having a greatest element ...
Famous quotes containing the word upper:
“You doubt we read the stars on high,
Nathless we read your fortunes true;
The stars may hide in the upper sky,
But without glass we fathom you.”
—Ralph Waldo Emerson (1803–1882)
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