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2. Let M be a collection of subsets of a metric space X. We say that M has proper AUBE M whenever A, B € M with ANB + 0. Prove or disprove the following star the connected subsets of a metric space X have property T. 3. Show that ||(x, y)|| := (//x|+ Vlyl)² does not define a norm on R?.

2. Let M be a collection of subsets of a metric space X. We say that M has proper AUBE M whenever A, B € M with ANB + 0. Prove or disprove the following star the connected subsets of a metric space X have property T. 3. Show that ||(x, y)|| := (//x|+ Vlyl)² does not define a norm on R?.

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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2. Let M be a collection of subsets of a metric space X. We say that M has property T if AUBE M whenever A, B € M with ANB # 0. Prove or disprove the following statement: the connected subsets of a metric space X have property T. 3. Show that ||(x, y)|| := (V/x| + Vlyl)² does not define a norm on R?.
Transcribed Image Text:2. Let M be a collection of subsets of a metric space X. We say that M has property T if AUBE M whenever A, B € M with ANB # 0. Prove or disprove the following statement: the connected subsets of a metric space X have property T. 3. Show that ||(x, y)|| := (V/x| + Vlyl)² does not define a norm on R?.
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