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Jan
2
comment Zeroth homotopy group: what exactly is it?
@MarianoSuárez-Alvarez thanks for your answer! Why is $\pi_0$ not a group?
Jan
2
accepted Zeroth homotopy group: what exactly is it?
Jan
2
asked Zeroth homotopy group: what exactly is it?
Dec
26
accepted Boundary Homomorphism Orientation (Very Basic Homology Question)
Dec
23
accepted Is the Splitting Field necessarily a subset of a field where the polynomial splits?
Dec
23
asked Is the Splitting Field necessarily a subset of a field where the polynomial splits?
Dec
18
comment Alternative isomorphism map to prove R-module isomorphism
@SpamIAm Ah I think I see it, the answer can be 3 or 1, so it is not well defined. Thanks for the enlightenment.
Dec
18
comment Alternative isomorphism map to prove R-module isomorphism
@SpamIAm Thanks. I am quite confused regarding well-definedness of tensor products. In undergrad, well-defined was mainly for coset representatives. I.e. If I defined a map $f:\mathbb{Z}/2\to\mathbb{Z}/2$ by $f(0+2\mathbb{Z})=0+2\mathbb{Z}$ and similarly for $f(1+2\mathbb{Z})=1+2\mathbb{Z}$, I believe that would be automatically well-defined, no? I wouldn't have to worry about $1+4$ and $1+6$ as two different representatives for $1+2\mathbb{Z}$? Thanks for enlightening me!
Dec
17
asked Alternative isomorphism map to prove R-module isomorphism
Dec
9
comment What is theta value?
Yes it is related to the polar coordinates
Dec
8
answered What is theta value?
Dec
1
comment Induced Isomorphism on 2nd Homology Group
Thanks for your answer! Just to ask which textbook do you recommend for learning Homology?
Dec
1
accepted Induced Isomorphism on 2nd Homology Group
Dec
1
comment Induced Isomorphism on 2nd Homology Group
I googled and found it is trivial group. I haven't learnt homotopy group though.
Dec
1
asked Induced Isomorphism on 2nd Homology Group
Nov
29
comment Continuous map from Projective Plane to Torus
Thanks! Just to ask what do you mean by "and every map is induced" in the last part?
Nov
29
comment Homology of hexagon
wow, awesome. I think I get it now
Nov
29
comment Homology of hexagon
Just to check how did you derive $Im \partial_2=\langle 2a-d+f, 2b-f+h, \dots$? I got something like $Im \partial_2=\langle a+e-d, a+f-e, b+g-f, c+d-i, i-h+c, h-g+b\rangle$, and calculated that they were linearly independent...
Nov
29
comment Homology of hexagon
Thanks! Bounty awarded to you.
Nov
27
accepted Continuous map from Projective Plane to Torus