Mathematics · Topology
f(x, y) = (e2πix cos(2πiy), e2πix sin(2πiy)) द्वारा परिभाषित फलन f: &mathbb;R;2 → &mathbb;R;2 पर विचार कीजिए। निम्नलिखित में से कौन सा कथन सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f आच्छादक (surjective) है
- 2यदि U, &mathbb;R;2 में सघन (dense) है, तो f(U) भी &mathbb;R;2 में सघन होगा
- 3यदि U, &mathbb;R;2 में संवृत (closed) है, तो f(U) भी &mathbb;R;2 में संवृत होगा
- 4यदि U, &mathbb;R;2 में विवृत (open) है, तो f(U) भी &mathbb;R;2 में विवृत होगा✓
सही उत्तर देखें
यदि U, &mathbb;R;2 में विवृत (open) है, तो f(U) भी &mathbb;R;2 में विवृत होगा
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