local
/ˈloʊ.kl̩/ adjective A2- From or in a nearby location. · We prefer local produce.
- Connected directly to a particular computer, processor, etc.; able to be accessed offline. · local disk drive· local file
- Having limited scope (either lexical or dynamic); only accessible within a certain portion of a program.
- Satisfied by at least one open neighborhood of every point. · A Hausdorff space satisfying local compactness need not be (globally) compact!
- Satisfied by arbitrarily small open neighborhoods of every point.
- Satisfied by every finitely generated subgroup.
- Such that the following conditions are equivalent: (1) P holds for R (M); (2) P holds for the localization R_p (M_p) for all prime ideals p of R; (3) P holds for the localization R_m (M_m) for all maximal ideals m of R. · Flatness is a local property.
- Detectable from the behavior of the normalizers of the nontrivial p-subgroups.
From the library
"Did you make any local inquiries?"
The stout lady occasionally turned her head squarely around and surveyed Anne through her eyeglasses until Anne, acutely sensitive of being so scrutinized, felt that she must scream aloud; and the white-lace girl kept talking audibly to her next neighbor about the “country bumpkins” and “rustic belles” in the audience, languidly anticipating “such fun” from the displays of local talent on the program.
“Last week he hurled the local blacksmith over a parapet into a stream, and it was only by paying over all the money which I could gather together that I was able to avert another public exposure.
Next morning, after breakfast, we found Inspector MacDonald and White Mason seated in close consultation in the small parlour of the local police sergeant.
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