Extension of continuity of maps between axiomatic locally finite spaces

Extension of continuity of maps between axiomatic locally finite spaces

The paper studies the extension problem of continuous maps between axiomatic locally finite spaces (for short, ALF spaces). Indeed, an ALF space is a topological space satisfying a set of axioms suggested in . Further, an ALF space is defined by using a special kind of neighborhood different from th...

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Bibliographic Details
Main Author: Sangeon HAN
Format: Article
Language:zho
Published: Hebei University of Science and Technology
Series:Journal of Hebei University of Science and Technology
Subjects:
locally finite space
axiomatic locally finite (ALF) space
smallest open neighbourhood
frontier
neighbourhood relation
homeomorphism
local homeomorphism
combinatorial homeomorphism
abstract cell complex
extension problem
retract
Online Access:http://xuebao.hebust.edu.cn/hbkjdx/ch/reader/create_pdf.aspx?file_no=b201501012&flag=1&journal_

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