Functional product topology: A common framework of the topological sum, the product topology and the functional topology of pointwise convergence

Based on the topological sum, for X being a discrete topological space, we prove that the product topology generated by some topological spaces is equal to the topology of pointwise convergence related to X. For every topology on a Cartesian product, we find an equivalent condition under which every...

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Bibliographic Details
Main Authors: Chong SHEN, Wei YAO
Format: Article
Language:zho
Published: Hebei University of Science and Technology 2015-08-01
Series:Journal of Hebei University of Science and Technology
Subjects:
Online Access:http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201504008&flag=1&journal_