논문KCI 등재
A Functions and its Graph Fuction
한국수학교육학회|2005.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제12권 제1호|pp. 47-55
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Abstract
For topological spaces X, Y and the function f : X ! Y , it induces a function gr(f) : X ! X £ Y de¯ned as gr(f)(x) = (x; f(x)), for every x 2 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..
참고문헌 (6)
- "Composition of functions with closed graph andits function spaces" (1986)
- "Mathematical Concepts and Methods in Science andEngineering" (1977), Plenum Press
- "A class of mappings containing all continuous and all semiconnectedmappings", pp.~12896 (1978)
- "Semi-open sets and semi-continuity in topological spaces", pp.~70 4025 (1963)
- "Functions with closed graph" (1969)
- "Properties of some weak forms of continuity" (1987)
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