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Let Gbe an open set in R". Two points x, y = G are said to be equivalent if they can be joined by a continuous path completely lying inside G. Number of equivalence classes is (a) Only one (b) At most finite (c) At most countable (d) Can be finite, countable or uncountable

Let Gbe an open set in R". Two points x, y = G are said to be equivalent if they can be joined by a continuous path completely lying inside G. Number of equivalence classes is (a) Only one (b) At most finite (c) At most countable (d) Can be finite, countable or uncountable

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let Gbe an open set in R". Two points x, y eG are said to be equivalent if they can be joined by a continuous path completely lying inside G. Number of equivalence classes is (a) Only one (b) At most finite (c) At most countable (d) Can be finite, countable or uncountable
Transcribed Image Text:Let Gbe an open set in R". Two points x, y eG are said to be equivalent if they can be joined by a continuous path completely lying inside G. Number of equivalence classes is (a) Only one (b) At most finite (c) At most countable (d) Can be finite, countable or uncountable
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