The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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A FUNCTIONS AND ITS GRAPH FUCTION

  • CHAE G. I. (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN) ;
  • SINGH V. P. (DEPARTMENT OF MATHEMATICS, N.C.E.R.T.(DESM) SRI AUROBINDO MARG NEW DELHT) ;
  • PARK Y. S. (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN) ;
  • GIHARE R. P. (DEPARTMENT OF MATHEMATICS, N.C.E.R.T.(DESM) SRI AUROBINDO MARG NEW DELHT)
  • Published : 2005.02.01
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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.

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