Miscellaneous Facts about Open Functions and Continuous Functions
نویسندگان
چکیده
منابع مشابه
Miscellaneous Facts about Open Functions and Continuous Functions
We adopt the following rules: n, m are elements of N, T is a non empty topological space, and M , M1, M2 are non empty metric spaces. The following propositions are true: (1) Let A, B, S, T be topological spaces, f be a function from A into S, and g be a function from B into T . Suppose that (i) the topological structure of A = the topological structure of B, (ii) the topological structure of S...
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For simplicity we adopt the following rules: x is arbitrary, m, n are natural numbers, f , g are functions, and A, B are sets. We now state several propositions: (1) For every function f and for every set X such that rng f ⊆ X holds idX · f = f. (2) Let X be a set, and let Y be a non empty set, and let f be a function from X into Y . Suppose f is one-to-one. Let B be a subset of X and let C be ...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2010
ISSN: 1898-9934,1426-2630
DOI: 10.2478/v10037-010-0019-5