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... 12 cm can form a triangle? POSSIBLE Determine if sides of length 7 cm, 4 cm and 14 cm can form a triangle? NOT POSSIBLE ...
... 12 cm can form a triangle? POSSIBLE Determine if sides of length 7 cm, 4 cm and 14 cm can form a triangle? NOT POSSIBLE ...
MA3056: Metric Spaces and Topology
... hard to see that if we start with our intuitive idea of a function and look at the graph, then Gf satisfies the following: Each x ∈ X appears as the first element in exactly one pair from Gf . Conversely, if G ⊂ X × Y is any subset that satisfies the above property then G defines a function g : X → ...
... hard to see that if we start with our intuitive idea of a function and look at the graph, then Gf satisfies the following: Each x ∈ X appears as the first element in exactly one pair from Gf . Conversely, if G ⊂ X × Y is any subset that satisfies the above property then G defines a function g : X → ...
Multifunctions and graphs - Mathematical Sciences Publishers
... whenever Ω* —> θy and ώ* is finer than Φ(Ω). ( e ) // {xn} and {yn} are nets on X and Y, respectively, with xn-*θ% in X, yn-*θV in Y and yneΦ{xn) for each n, then yeΦ{x). (f ) The multifunction Φ has θ-closed point images and ad# Ω c Φ(x) for each xeX and filterbase Ω on X — {x} with Ω —>ex. (g) The ...
... whenever Ω* —> θy and ώ* is finer than Φ(Ω). ( e ) // {xn} and {yn} are nets on X and Y, respectively, with xn-*θ% in X, yn-*θV in Y and yneΦ{xn) for each n, then yeΦ{x). (f ) The multifunction Φ has θ-closed point images and ad# Ω c Φ(x) for each xeX and filterbase Ω on X — {x} with Ω —>ex. (g) The ...
Vasile Alecsandri” University of Bac˘au Faculty of Sciences Scientific
... Throughout the present paper, (X, τ ) and (Y, σ) always denote topological spaces and f : (X, τ ) → (Y, σ) presents a function. Definition 2.3. A function f : (X, τ ) → (Y, σ) is said to be g-closed (resp. sg ∗ -closed, pg ∗ -closed, αg ∗ -closed, βg ∗ -closed) if f (F ) is g-closed (resp. sg ∗ -clo ...
... Throughout the present paper, (X, τ ) and (Y, σ) always denote topological spaces and f : (X, τ ) → (Y, σ) presents a function. Definition 2.3. A function f : (X, τ ) → (Y, σ) is said to be g-closed (resp. sg ∗ -closed, pg ∗ -closed, αg ∗ -closed, βg ∗ -closed) if f (F ) is g-closed (resp. sg ∗ -clo ...
