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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.12 No.1

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A Functions and its Graph Fuction

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.1, pp.47-55
CHAE G. I.
SINGH V. P.
PARK Y. S.
GIHARE R. P.
CHAE, G. I. , SINGH, V. P. , PARK, Y. S. , & GIHARE, R. P. (2005). A Functions and its Graph Fuction. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 12(1), 47-55.

Abstract

For topological spaces X, Y and the function f : X → Y, it induces a function gr(f) : X → X x Y defined as gr(f)(χ) = (χ, f(χ)), for every χ ∈ X. It deals with some preliminary investigations relating to the behavior of functions and its graph functions. It has also been found that continuous functions are homotopic if and only if their graph functions are homotopic.

keywords
c-continuity, s-continuity, closed graph, graph function, graphical homotopy

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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