adjective Connected directly to a particular computer, processor, etc.; able to be accessed offline.
local disk drive
adjective Having limited scope (either lexical or dynamic); only accessible within a certain portion of a program.
adjective Applying to or satisfied by substructures understood as "near points;" in particular: Satisfied by at least one open neighborhood of every point.
A Hausdorff space satisfying local compactness need not be (globally) compact!
adjective Satisfied by at least one open neighborhood of every point.
A Hausdorff space satisfying local compactness need not be (globally) compact!
adjective Satisfied by arbitrarily small open neighborhoods of every point.
adjective Satisfied by every finitely generated subgroup.
adjective Detectable from the behavior of substructures understood to be "near points;" in particular: Such that the following conditions are equivalent: (1) P holds for R (M); (2) P holds for the localization R𝔭 (M𝔭) for all prime ideals 𝔭 of R; (3) P holds for the localization R𝔪 (M𝔪) for all maximal ideals 𝔪 of R.