کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778014 1633058 2017 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
About dense subsets of Tychonoff products of discrete spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
About dense subsets of Tychonoff products of discrete spaces
چکیده انگلیسی

The Hewitt-Marczewski-Pondiczery theorem states that if X= is the Tychonoff product, where d(Xα)≤τ≥ω for all α∈A and |A|≤2τ, then d(X)≤τ.We prove that in the product of discrete spaces Dα=ω there is a dense countable subset Q=∪{Qk:k∈ω}, the union of disjoint finite sets Qk, satisfying the following conditions:-if F⊆Q is such that |F∩Qk|≤1 for all k∈ω, then F is a discrete closed in set;-if C⊆ω is infinite and for F⊆Q there is m0∈ω such that |Qk∩F|≤m0 for all k∈ω, then ∪{Qk:k∈C}∖F is dense in ;-Q contains no convergent in non-trivial sequences;

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 221, 15 April 2017, Pages 300-308
نویسندگان
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