Extension of continuity of maps between axiomatic locally finite spaces

DOI10.1080/00207160.2011.577892zbMath1254.54026OpenAlexW2007345641MaRDI QIDQ2885518

Sang-Eon Han

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.577892

zbMATH Keywords

frontierhomeomorphismextension problemretractlocal homeomorphismlocally finite spaceabstract cell complexneighbourhood relationcombinatorial homeomorphismaxiomatic locally finite (ALF) spacesmallest open neighbourhood

Mathematics Subject Classification ID

General topology of complexes (57Q05) Weak and generalized continuity (54C08) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Extension of maps (54C20)

Related Items (3)

Low-level separation axioms from the viewpoint of computational topology ⋮ Hereditary properties of semi-separation axioms and their applications ⋮ Jordan surface theorem for simple closed \textit{SST}-surfaces

Cites Work

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• CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS
• STRONG k-DEFORMATION RETRACT AND ITS APPLICATIONS
• Connectivity in Digital Pictures

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