Algebra prerequisites for Hatcher's Algebraic Topology
Is the chapter on groups in Herstein's Topics in Algebra enough to get started? What bare minimum Algebra should I be comfortable with, before studying Algebraic Topology?
abstract-algebra reference-request algebraic-topology book-recommendation
asked Dec 19 '16 at 16:41
emilran
556
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Is the chapter on groups in Herstein's Topics in Algebra enough to get started? What bare minimum Algebra should I be comfortable with, before studying Algebraic Topology?
abstract-algebra reference-request algebraic-topology book-recommendation
asked Dec 19 '16 at 16:41
emilran
556
add a comment |
Is the chapter on groups in Herstein's Topics in Algebra enough to get started? What bare minimum Algebra should I be comfortable with, before studying Algebraic Topology?
abstract-algebra reference-request algebraic-topology book-recommendation
asked Dec 19 '16 at 16:41
emilran
556
Is the chapter on groups in Herstein's Topics in Algebra enough to get started? What bare minimum Algebra should I be comfortable with, before studying Algebraic Topology?
abstract-algebra reference-request algebraic-topology book-recommendation
abstract-algebra reference-request algebraic-topology book-recommendation
asked Dec 19 '16 at 16:41
emilran
556
asked Dec 19 '16 at 16:41
emilran
556
asked Dec 19 '16 at 16:41
emilran
556
asked Dec 19 '16 at 16:41
emilran
556
asked Dec 19 '16 at 16:41
emilran
556
556
add a comment |
add a comment |
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Probably not, when covering things like the characterization of the fundamental groups of compact surfaces a couple of facts about free groups are used, also when calculating the abelianizations of the aforementioned groups.
However, I recommend that you learn these as they appear while you are reading Hatcher. I think that Hatcher's book is going to require a lot of work regardless of whether you know a lot of group theory or not. But it is a great book, and I think that learning the group theory stuff as you advance through the book is a good method.
As to what the "bare minimum" is: I thing that chapter on Herstein is more than enough.
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
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1 Answer
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Probably not, when covering things like the characterization of the fundamental groups of compact surfaces a couple of facts about free groups are used, also when calculating the abelianizations of the aforementioned groups.
However, I recommend that you learn these as they appear while you are reading Hatcher. I think that Hatcher's book is going to require a lot of work regardless of whether you know a lot of group theory or not. But it is a great book, and I think that learning the group theory stuff as you advance through the book is a good method.
As to what the "bare minimum" is: I thing that chapter on Herstein is more than enough.
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
add a comment |
Probably not, when covering things like the characterization of the fundamental groups of compact surfaces a couple of facts about free groups are used, also when calculating the abelianizations of the aforementioned groups.
However, I recommend that you learn these as they appear while you are reading Hatcher. I think that Hatcher's book is going to require a lot of work regardless of whether you know a lot of group theory or not. But it is a great book, and I think that learning the group theory stuff as you advance through the book is a good method.
As to what the "bare minimum" is: I thing that chapter on Herstein is more than enough.
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
add a comment |
Probably not, when covering things like the characterization of the fundamental groups of compact surfaces a couple of facts about free groups are used, also when calculating the abelianizations of the aforementioned groups.
However, I recommend that you learn these as they appear while you are reading Hatcher. I think that Hatcher's book is going to require a lot of work regardless of whether you know a lot of group theory or not. But it is a great book, and I think that learning the group theory stuff as you advance through the book is a good method.
As to what the "bare minimum" is: I thing that chapter on Herstein is more than enough.
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
Probably not, when covering things like the characterization of the fundamental groups of compact surfaces a couple of facts about free groups are used, also when calculating the abelianizations of the aforementioned groups.
However, I recommend that you learn these as they appear while you are reading Hatcher. I think that Hatcher's book is going to require a lot of work regardless of whether you know a lot of group theory or not. But it is a great book, and I think that learning the group theory stuff as you advance through the book is a good method.
As to what the "bare minimum" is: I thing that chapter on Herstein is more than enough.
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
edited Dec 28 '18 at 0:07
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
answered Dec 19 '16 at 16:45
Jorge Fernández
75.1k1190191
75.1k1190191
add a comment |
add a comment |
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