10-327/Homework Assignment 4 - Revision history

Anne.d: /* Solutions */

2010-12-11T02:42:20Z

Solutions

← Older revision		Revision as of 22:42, 10 December 2010
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	Anne maybe you can help me again to create a page of solution. I tried but I don't know how to do so.		Anne maybe you can help me again to create a page of solution. I tried but I don't know how to do so.
			*Kai: page created, content moved. Just edit the navigation to create a new page. [[User:Anne.d\|Anne.d]] 21:42, 10 December 2010 (EDT)
	But the solution still goes here!
	[http://katlas.math.toronto.edu/drorbn/images/e/ec/10-327a401.JPG page1]
	[http://katlas.math.toronto.edu/drorbn/images/5/59/10-327a402.JPG page2]
	[http://katlas.math.toronto.edu/drorbn/images/1/18/10-327a403.JPG page3]
	[http://katlas.math.toronto.edu/drorbn/images/a/a0/10-327a404.JPG page4]
	[http://katlas.math.toronto.edu/drorbn/images/b/bb/10-327a405.JPG page5]
	[http://katlas.math.toronto.edu/drorbn/images/e/e6/10-327a406.JPG page6]
	[http://katlas.math.toronto.edu/drorbn/images/7/7e/10-327a407.JPG page7]
	[http://katlas.math.toronto.edu/drorbn/images/f/ff/10-327a408.JPG page8]
	[http://katlas.math.toronto.edu/drorbn/images/1/1c/10-327a409.JPG page9]
	[http://katlas.math.toronto.edu/drorbn/images/d/d8/10-327a410.JPG page10]
	[http://katlas.math.toronto.edu/drorbn/images/8/82/10-327a411.JPG page11]
	[http://katlas.math.toronto.edu/drorbn/images/d/db/10-327a412.JPG page12]
	[http://katlas.math.toronto.edu/drorbn/images/5/56/10-327a413.JPG page13]
	[http://katlas.math.toronto.edu/drorbn/images/7/7e/10-327a414.JPG page14]

	Math is like science. It is precise to the maximum. So whenever I write something in math I always want to make sure
	that I am clear enough. Sets are sets functions are functions numbers are numbers. Math is also like art. It is a series
	of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like
	philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read
	it I will be happy to believe what is written is true. However I still sin sometimes quoting big theorems without
	actually fully understand them. But I try my best not to and present the simplest arguments that anybody could understand.-Kai

Xwbdsb: /* Solutions */

2010-11-20T02:05:03Z

Solutions

← Older revision		Revision as of 22:05, 19 November 2010
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	of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like		of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like
	philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read		philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read
	it I will be happy to believe what is written is true. However ~~like Dror~~ I still sin sometimes quoting big theorems without		it I will be happy to believe what is written is true. However I still sin sometimes quoting big theorems without
	actually fully understand them. But I try my best not to and present the simplest arguments that anybody could understand.-Kai		actually fully understand them. But I try my best not to and present the simplest arguments that anybody could understand.-Kai

Xwbdsb: /* Solutions */

2010-11-20T01:02:31Z

Solutions

← Older revision		Revision as of 21:02, 19 November 2010
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	of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like		of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like
	philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read		philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read
	it I will be happy to believe what is written is true. ~~-Kai~~		it I will be happy to believe what is written is true. However like Dror I still sin sometimes quoting big theorems without
			actually fully understand them. But I try my best not to and present the simplest arguments that anybody could understand.-Kai

Xwbdsb: /* Solutions */

2010-11-20T00:56:33Z

Solutions

← Older revision		Revision as of 20:56, 19 November 2010
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	Math is like science. It is precise to the maximum. So whenever I write something in math I always want to make sure		Math is like science. It is precise to the maximum. So whenever I write something in math I always want to make sure
	that I am clear enough. Sets are sets functions are functions numbers are numbers. Math is also like art. It is a series		that I am clear enough. Sets are sets functions are functions numbers are numbers. Math is also like art. It is a series
	of arguments that we present to people to convince them what we believe it true. To some extent it is like politics or like		of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like
	philosophy. I like to make my arguments ~~sound convincing~~ supplemented with diagrams and illustrations so that whenever I read		philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read
	it I will believe what I ~~write~~ is true.		it I will be happy to believe what is written is true. -Kai

Xwbdsb: /* Solutions */

2010-11-20T00:55:23Z

Solutions

← Older revision		Revision as of 20:55, 19 November 2010
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	[http://katlas.math.toronto.edu/drorbn/images/5/56/10-327a413.JPG page13]		[http://katlas.math.toronto.edu/drorbn/images/5/56/10-327a413.JPG page13]
	[http://katlas.math.toronto.edu/drorbn/images/7/7e/10-327a414.JPG page14]		[http://katlas.math.toronto.edu/drorbn/images/7/7e/10-327a414.JPG page14]

			Math is like science. It is precise to the maximum. So whenever I write something in math I always want to make sure
			that I am clear enough. Sets are sets functions are functions numbers are numbers. Math is also like art. It is a series
			of arguments that we present to people to convince them what we believe it true. To some extent it is like politics or like
			philosophy. I like to make my arguments sound convincing supplemented with diagrams and illustrations so that whenever I read
			it I will believe what I write is true.

Xwbdsb: /* Solutions */

2010-11-20T00:50:25Z

Solutions

@@ Line 72: / Line 72: @@
 Anne maybe you can help me again to create a page of solution. I tried but I don't know how to do so.
 But the solution still goes here!
-http://katlas.math.toronto.edu/drorbn/images/e/ec/10-327a401.JPG
+[http://katlas.math.toronto.edu/drorbn/images/e/ec/10-327a401.JPG page1]

Xwbdsb: /* Questions */

2010-11-20T00:47:03Z

Questions

← Older revision		Revision as of 20:47, 19 November 2010
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	*Question. Is f(t) = (t,t,t...) cts in the R^\omega with uniform topology?.... -Kai [[User:Xwbdsb\|Xwbdsb]] 15:23, 27 October 2010 (EDT)		*Question. Is f(t) = (t,t,t...) cts in the R^\omega with uniform topology?.... -Kai [[User:Xwbdsb\|Xwbdsb]] 15:23, 27 October 2010 (EDT)
	** Yes. [[User:Drorbn\|Drorbn]] 06:58, 28 October 2010 (EDT)		** Yes. [[User:Drorbn\|Drorbn]] 06:58, 28 October 2010 (EDT)

			===Solutions===

			Anne maybe you can help me again to create a page of solution. I tried but I don't know how to do so.
			But the solution still goes here!
			http://katlas.math.toronto.edu/drorbn/images/e/ec/10-327a401.JPG

Drorbn at 10:58, 28 October 2010

2010-10-28T10:58:26Z

← Older revision		Revision as of 06:58, 28 October 2010
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	** We did not complete the proof of that fact in class. There are many ways to complete it, some use what you wrote and some don't. [[User:Drorbn\|Drorbn]] 14:48, 27 October 2010 (EDT)		** We did not complete the proof of that fact in class. There are many ways to complete it, some use what you wrote and some don't. [[User:Drorbn\|Drorbn]] 14:48, 27 October 2010 (EDT)
	*Question. Is f(t) = (t,t,t...) cts in the R^\omega with uniform topology?.... -Kai [[User:Xwbdsb\|Xwbdsb]] 15:23, 27 October 2010 (EDT)		*Question. Is f(t) = (t,t,t...) cts in the R^\omega with uniform topology?.... -Kai [[User:Xwbdsb\|Xwbdsb]] 15:23, 27 October 2010 (EDT)
			** Yes. [[User:Drorbn\|Drorbn]] 06:58, 28 October 2010 (EDT)

Ian: /* Questions */

2010-10-27T23:49:35Z

Questions

← Older revision		Revision as of 19:49, 27 October 2010
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	**Hi Ian I don't believe what you have said.</math>\tilde R^n</math> has the subspace topology from </math>R^\omega</math> where we indeed put product topology on it. This is not the same as </math>\tilde R^n</math> has the product topology. -Kai		**Hi Ian I don't believe what you have said.</math>\tilde R^n</math> has the subspace topology from </math>R^\omega</math> where we indeed put product topology on it. This is not the same as </math>\tilde R^n</math> has the product topology. -Kai
	***Kai I don't understand what you mean by not the same can you clarify? Do you mean they are not homeomorphic, i.e. there is something wrong with the functions I provided? [[User:Ian\|Ian]] 17:47, 27 October 2010 (EDT)		***Kai I don't understand what you mean by not the same can you clarify? Do you mean they are not homeomorphic, i.e. there is something wrong with the functions I provided? [[User:Ian\|Ian]] 17:47, 27 October 2010 (EDT)
	****Hi Kai I see what you are trying to say now. Theorem 19.3 suggests they are they same.		****Hi Kai I see what you are trying to say now. Theorem 19.3 suggests they are they same. [[User:Ian\|Ian]] 19:49, 27 October 2010 (EDT)

	3)Question. Suppose we have a function f going from topological space X to Y which is not onto and a function g going from Y to Z. Could I still define the composition of f and g? i.e. g circle f? -Kai [[User:Xwbdsb\|Xwbdsb]] 19:19, 22 October 2010 (EDT)		3)Question. Suppose we have a function f going from topological space X to Y which is not onto and a function g going from Y to Z. Could I still define the composition of f and g? i.e. g circle f? -Kai [[User:Xwbdsb\|Xwbdsb]] 19:19, 22 October 2010 (EDT)

Ian: /* Questions */

2010-10-27T23:48:31Z

Questions

← Older revision		Revision as of 19:48, 27 October 2010
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	**Hi Ian I don't believe what you have said.</math>\tilde R^n</math> has the subspace topology from </math>R^\omega</math> where we indeed put product topology on it. This is not the same as </math>\tilde R^n</math> has the product topology. -Kai		**Hi Ian I don't believe what you have said.</math>\tilde R^n</math> has the subspace topology from </math>R^\omega</math> where we indeed put product topology on it. This is not the same as </math>\tilde R^n</math> has the product topology. -Kai
	***Kai I don't understand what you mean by not the same can you clarify? Do you mean they are not homeomorphic, i.e. there is something wrong with the functions I provided? [[User:Ian\|Ian]] 17:47, 27 October 2010 (EDT)		***Kai I don't understand what you mean by not the same can you clarify? Do you mean they are not homeomorphic, i.e. there is something wrong with the functions I provided? [[User:Ian\|Ian]] 17:47, 27 October 2010 (EDT)
			****Hi Kai I see what you are trying to say now. Theorem 19.3 suggests they are they same.

	3)Question. Suppose we have a function f going from topological space X to Y which is not onto and a function g going from Y to Z. Could I still define the composition of f and g? i.e. g circle f? -Kai [[User:Xwbdsb\|Xwbdsb]] 19:19, 22 October 2010 (EDT)		3)Question. Suppose we have a function f going from topological space X to Y which is not onto and a function g going from Y to Z. Could I still define the composition of f and g? i.e. g circle f? -Kai [[User:Xwbdsb\|Xwbdsb]] 19:19, 22 October 2010 (EDT)

← Older revision		Revision as of 06:58, 28 October 2010
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	** We did not complete the proof of that fact in class. There are many ways to complete it, some use what you wrote and some don't. [[User:Drorbn\|Drorbn]] 14:48, 27 October 2010 (EDT)		** We did not complete the proof of that fact in class. There are many ways to complete it, some use what you wrote and some don't. [[User:Drorbn\|Drorbn]] 14:48, 27 October 2010 (EDT)
	*Question. Is f(t) = (t,t,t...) cts in the R^\omega with uniform topology?.... -Kai [[User:Xwbdsb\|Xwbdsb]] 15:23, 27 October 2010 (EDT)		*Question. Is f(t) = (t,t,t...) cts in the R^\omega with uniform topology?.... -Kai [[User:Xwbdsb\|Xwbdsb]] 15:23, 27 October 2010 (EDT)
			** Yes. [[User:Drorbn\|Drorbn]] 06:58, 28 October 2010 (EDT)