کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658696 1633109 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interior and neighbourhood
ترجمه فارسی عنوان
داخلی و محله
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی

The notion of interior operator is intimately related to that of neighbourhood operator. This relationship is presented here in the form of an adjunction or Galois connection, in the sense that on an object (a space) X  , the neighbourhood operator νXνX admits a right adjoint which agrees with its associated interior operator iXiX on the subobjects (subspaces). We establish this one-to-one correspondence and present some consequences of this relation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 168, 15 May 2014, Pages 144–152
نویسندگان
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