کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904256 | 1633064 | 2017 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
MP-equivalence of free paratopological groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
Let FP(X) denote the free paratopological group over a topological space X. Two topological spaces X and Y are called MP-equivalent if FP(X) and FP(Y) are topologically isomorphic. At first, it is shown that there exist non-homeomorphic topological spaces X and Y such that FP(X) and FP(Y) are topologically isomorphic. Secondly, MP-invariance of free paratopological groups is investigated. It is established that pseudocompactness, hereditary Lindelöfness, hereditary separability and the property of being a cosmic space are all MP-invariant, which generalizes some conclusions valid for free topological groups to free paratopological groups. Finally, a few questions about MP-equivalence of free paratopological groups are posed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 215, 1 January 2017, Pages 35-44
Journal: Topology and its Applications - Volume 215, 1 January 2017, Pages 35-44
نویسندگان
Zhangyong Cai, Shou Lin,