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/sci/ - Science & Math

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>> No.10344340 [View]
File: 1.78 MB, 2450x2742, myanswerforpart1.jpg [View same] [iqdb] [saucenao] [google]
10344340

>>10344338
Okay how’d I do?
I’m pretty sure I proved the two conditions necessary for something to be a basis for a topology. However my classmates say I’m incorrect because I didn’t prove all 3 properties of a metric. However I disagree because I am given the literal metric in the definition of the thing that I want to prove to be a basis. Yes a metric defines a topology, but that’s not what the question is asking. Am I correct in my thinking or do I need to do more? Is proving a metric on a topology equivalent to proving something is a basis for a topology because I dont think so

>> No.10342983 [View]
File: 1.78 MB, 2450x2742, 11A44716-99C0-454C-9B3D-E92276C0D3D4.jpg [View same] [iqdb] [saucenao] [google]
10342983

>>10340124
Okay how’d I do?
I’m pretty sure I proved the two conditions necessary for something to be a basis for a topology. However my classmates say I’m incorrect because I didn’t prove all 3 properties of a metric. However I disagree because I am given the literal metric in the definition of the thing that I want to prove to be a basis. Yes a metric defines a topology, but that’s not what the question is asking. Am I correct in my thinking or do I need to do more?

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