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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

A Functions and its Graph Fuction

한국수학교육학회지시리즈B:순수및응용수학 / 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. (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)
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

한국수학교육학회지시리즈B:순수및응용수학

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