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)
  • 발행 : 2005.02.01

초록

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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