کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777996 | 1633058 | 2017 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Topological properties preserved by weakly discontinuous maps and weak homeomorphisms
ترجمه فارسی عنوان
خواص توپولوژیکی با نقشه های ضعیف انسداد و هومومورفیسم ضعیف حفظ شده است
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
A map f:XâY between topological spaces is called weakly discontinuous if each subspace AâX contains an open dense subset UâA such that the restriction f|U is continuous. A bijective map f:XâY between topological spaces is called a weak homeomorphism if f and fâ1 are weakly discontinuous. We study properties of topological spaces preserved by weakly discontinuous maps and weak homeomorphisms. In particular, we show that weak homeomorphisms preserve network weight, hereditary Lindelöf number, dimension. Also we classify infinite zero-dimensional Ï-Polish metrizable spaces up to a weak homeomorphism and prove that any such space X is weakly homeomorphic to one of 9 spaces: Ï, 2Ï, NÏ, Q, Qâ2Ï, QÃ2Ï, QâNÏ, (QÃ2Ï)âNÏ, QÃNÏ.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 221, 15 April 2017, Pages 91-106
Journal: Topology and its Applications - Volume 221, 15 April 2017, Pages 91-106
نویسندگان
Taras Banakh, Bogdan Bokalo, Nadiya Kolos,