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/sci/ - Science & Math

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9827019 No.9827019 [Reply] [Original]

What does /sci/ think of this book ?
Is it enough to know undergrad general topology/linear algebra and basic group theory?
First chapter seemed difficult as it required to visualize s^3 I think but chap 2 seemed easier

>> No.9827022

Is it enough to know undergrad general topology/linear algebra and basic group theory to start reading it ?
I meant to say that instead sorry

>> No.9827074

bump :( ?

>> No.9827099

>>9827019
Haven't read the book just skimmed the first chapter. It seems like a decent understanding of differential/algebraic topology is useful, something at the level of lee for differential topology and Hatcher for algebraic topology should be useful. Not necessarily all the material though.

>> No.9827108

>>9827019
>>9827099
Here, these notes should also be of use
https://www.ams.org/open-math-notes/omn-view-listing?listingId=110764
https://www.ams.org/open-math-notes/omn-view-listing?listingId=110690
https://www.ams.org/open-math-notes/omn-view-listing?listingId=110640

>> No.9827116

>>9827099
>>9827108
thanks


>It seems like a decent understanding of differential/algebraic topology is useful, something at the level of lee for differential topology and Hatcher for algebraic topology should be useful.
Oh well, I still have a long way to go then I tried reading Milnor's book topology from the differentiable viewpoint and it was going way too fast for me and I heard Hatcher book was pretty hard

>> No.9827171

>>9827116
>Oh well, I still have a long way to go then I tried reading Milnor's book topology from the differentiable viewpoint and it was going way too fast for me and I heard Hatcher book was pretty hard
Just depends on your tastes and background. Janich is also good, it goes from general to algebraic topology. Munkres may also be up your alley. Some of those notes are geared towards 3 manifolds so they may also be an easier intro than Thurston's book

>> No.9827189

>>9827019
Although it may seem weird, a book that specifically focuses on 3 or 4 dimensional spaces is most likely more advanced then say a general book on alg/dif topology/geometry.

>> No.9827217

>>9827171
>>9827189
I think I'll just try reading Hatcher hopefully it's not as hard as people say, the images were intriguing

>> No.9827237

>>9827217
Hatcher isn't particularly hard, but it is hard to read. Mainly because the authors writing style is very expository and because it is filled with a bunch of sections on "additional" topics. This makes it hard to figure out what the big points actually are and what stuff is most important.

>> No.9827251

>>9827237
>Hatcher isn't particularly hard, but it is hard to read.
Would you still recommend it for someone who only knows general topology and basic group theory despite the issues you stated or there are better books for AT?

>> No.9827339

>>9827251
You might like Fulton