1. Let A and B be connected sets in a metric space with A - B not connected and suppose A - B = C₁ C₂ where C₁ C₂ = ₁₂ = Ø. Show that Bu C₁ is connected.
1. Let A and B be connected sets in a metric space with A - B not connected and suppose A - B = C₁ C₂ where C₁ C₂ = ₁₂ = Ø. Show that Bu C₁ is connected.
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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Transcribed Image Text:11. Let A and B be connected sets in a metric space with A - B not connected and
suppose A - B = C₁ C₂ where C₂ C₂ = ₁₂ = Ø. Show that BUC₁ is
connected.
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