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Jan
31
revised Which maps on the zeroth homology do actually come from continuous maps?
added 74 characters in body
Jan
31
asked Which maps on the zeroth homology do actually come from continuous maps?
Jan
31
comment Is reduced homology a full functor on connected spaces?
@MarianoSuárez-Alvarez “Dualizing gives the corresponding statement for the induced map on homology as well”.
Jan
31
comment Is reduced homology a full functor on connected spaces?
@MarianoSuárez-Alvarez Yeah, I was thinking of this already, and this is why I was asking about reduced homology and connected spaces. But the other example is great, thanks!
Jan
30
comment If $x^{1/2}$ is the same as $ \sqrt[2] x$ then why $x^{1/3}$ is not equal to $\sqrt[3] x$?
Please add that this only works (in a unique way) for non-negative real numbers.
Jan
30
comment Is reduced homology a full functor on connected spaces?
@QiaochuYuan If studiosus edits his (her?) answer pro forma, you can remove the downvote. By the way, studiosus: This answer is on a level a tad too high for me – I don’t understand it yet, that’s why I cannot upvote it. But thanks anyway.
Jan
29
accepted Is reduced homology a full functor on connected spaces?
Jan
29
comment Is reduced homology a full functor on connected spaces?
@QiaochuYuan Thanks for giving me credit for this – but out of curiosity: How is that habit bad?
Jan
29
comment Is reduced homology a full functor on connected spaces?
@studiosus Thanks. I guess you could make that an answer here as well. Do you also have a counterexample for when $X = Y$?
Jan
29
asked Is reduced homology a full functor on connected spaces?
Jan
29
revised Inflating open sets up to homotopy through CW skeletons
added 2 characters in body
Jan
29
revised Inflating open sets up to homotopy through CW skeletons
edited title
Jan
28
revised Inflating open sets up to homotopy through CW skeletons
edited body
Jan
28
asked Inflating open sets up to homotopy through CW skeletons
Jan
28
awarded  Electorate
Jan
27
comment Is there a notation for being “a finite subset of”?
I like your second variant. I often write something like $A \underset{\smash{\scriptsize \text{finite}}}{⊂} B$ myself (which looks better when handwritten). I think this will be understood by everyone immediately, so I wouldn’t worry about using it.
Jan
27
comment How is induction justified in intuitionistic logic?
Not from Bonn, if you’re hinting at that! ;) Thanks for the elaborate answer.
Jan
27
accepted How is induction justified in intuitionistic logic?
Jan
26
revised How is induction justified in intuitionistic logic?
added 4 characters in body
Jan
26
asked How is induction justified in intuitionistic logic?