Algebra prerequisites for Hatcher's Algebraic Topology
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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
emilranemilran
606
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$begingroup$
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
emilranemilran
606
$endgroup$
add a comment |
$begingroup$
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
emilranemilran
606
$endgroup$
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
emilranemilran
606
asked Dec 19 '16 at 16:41
emilranemilran
606
asked Dec 19 '16 at 16:41
emilranemilran
606
asked Dec 19 '16 at 16:41
emilranemilran
606
asked Dec 19 '16 at 16:41
emilranemilran
606
606
add a comment |
add a comment |
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 HidalgoJorge Fernández Hidalgo
75.5k1191192
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$begingroup$
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 HidalgoJorge Fernández Hidalgo
75.5k1191192
$endgroup$
add a comment |
$begingroup$
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 HidalgoJorge Fernández Hidalgo
75.5k1191192
$endgroup$
add a comment |
$begingroup$
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 HidalgoJorge Fernández Hidalgo
75.5k1191192
$endgroup$
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 HidalgoJorge Fernández Hidalgo
75.5k1191192
edited Dec 28 '18 at 0:07
answered Dec 19 '16 at 16:45
Jorge Fernández HidalgoJorge Fernández Hidalgo
75.5k1191192
answered Dec 19 '16 at 16:45
Jorge Fernández HidalgoJorge Fernández Hidalgo
75.5k1191192
answered Dec 19 '16 at 16:45
Jorge Fernández HidalgoJorge Fernández Hidalgo
75.5k1191192
75.5k1191192
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