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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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. , 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: Theoretical Mathematics and Pedagogical Mathematics

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