Prasit
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Registered User
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Graduate Student
Indiana University
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Feb 25 |
accepted | Non-commutativity of certain Hopf spaces |
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Feb 23 |
revised |
Non-commutativity of certain Hopf spaces added 71 characters in body |
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Feb 23 |
comment |
Non-commutativity of certain Hopf spaces Hey Justin!! ( So happy to find you here). This completes the proof. One remark though, One do not need to use Serre SS. I would say it follows by construction, James construction! |
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Feb 23 |
revised |
Non-commutativity of certain Hopf spaces added 267 characters in body |
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Feb 23 |
revised |
Non-commutativity of certain Hopf spaces added 204 characters in body |
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Feb 23 |
comment |
Non-commutativity of certain Hopf spaces I do not know if I am hitting the right cord, but what I mean by commutative hopf algebra is that I have a homotopy between $H: \mu \simeq \mu \circ T$, where $T: \Omega(X) \times \Omega(X) \to \Omega(X) \times \Omega(X) $ is the switch map. |
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Feb 23 |
comment |
Non-commutativity of certain Hopf spaces To start with I have to admit that the situation is very blurry to me at this moment. But I do mean multiplication by concatenation, the usual multiplication on a loop space, at least thats the multiplication I was thinking of. I do not understand what you mean when you say "exactly one point". |
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Feb 23 |
answered | Non-commutativity of certain Hopf spaces |
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Feb 22 |
revised |
Non-commutativity of certain Hopf spaces added 11 characters in body; deleted 2 characters in body; added 2 characters in body |
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Feb 22 |
comment |
Non-commutativity of certain Hopf spaces Sorry, I meant spaces and I changed the title! |
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Feb 22 |
revised |
Non-commutativity of certain Hopf spaces edited title |
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Feb 22 |
comment |
Non-commutativity of certain Hopf spaces math.stackexchange.com/questions/310824/… Here is my question in math.stackexchange.com. One may put the answer wherever it is appropriate |
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Feb 22 |
asked | Non-commutativity of certain Hopf spaces |
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Feb 20 |
awarded | ● Commentator |
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Feb 20 |
comment |
Bar construction for spectra I did not know this, and certainly this is very interesting. It seems slightly out of context of what I am interested( which right now is hard to describe). But thanks for pointing this out. I will keep in mind. |
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Feb 19 |
awarded | ● Yearling |
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Feb 19 |
comment |
Bar construction for spectra These are all really helpful comments! I will look into the references. |
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Feb 19 |
asked | Bar construction for spectra |
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Feb 18 |
awarded | ● Nice Question |
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Feb 15 |
revised |
In the cohomology of Thom spectrum over LoopS^{2} and p-adic characteristic classes added 113 characters in body |
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Feb 15 |
comment |
In the cohomology of Thom spectrum over LoopS^{2} and p-adic characteristic classes Sorry I should have mentioned this in the questioin, $G_{3}$ is the unit component of $ \Omega^{\infty}S_{3}$ where, $S^{3}$ is the $3$-adic sphere spectrum. |
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Feb 14 |
asked | In the cohomology of Thom spectrum over LoopS^{2} and p-adic characteristic classes |
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Feb 13 |
comment |
Complementary Sets in $\mathbb{C}P^2$ I think, I was too fast to jump to conclusion, I am sorry about my previous comment. Though the statement is true if $M$ is simply connected. One thing which concludes that the above statement is true is $H_{2}(M) = 0$ with the required coefficient. Simply connected is one option. @Mathews: Can you elaborate on the kind of sets $U$ and $V$ are? Are they open? or a related problem that you are looking at if thats the case) |
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Feb 12 |
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Complementary Sets in $\mathbb{C}P^2$ If you mean '$ U \cup V = \mathbb{CP^{2}}$', then apply Mayer-Veitoris. Since $M$ is oriented $H_{2}(M)$ does not have any $2$ torsion. And the answer pops out. But I am sorry to say this not a mathoverflow problem. |
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Feb 12 |
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Complementary Sets in $\mathbb{C}P^2$ Why not, $U$ is just homotopic to the complement set. They may still interest. |
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Jan 23 |
awarded | ● Scholar |
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Jan 23 |
comment |
Computation of [ HZ/4, HZ/4] Thanks Tyler, this is a great computation. Glad that you posted it here. This solves a lot of my worries. |
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Jan 23 |
revised |
Computation of [ HZ/4, HZ/4] added 705 characters in body |
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Jan 22 |
asked | Computation of [ HZ/4, HZ/4] |
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Jan 21 |
awarded | ● Editor |
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Jan 21 |
comment |
Different Hopf algebra structures on same graded algebra This is a very nice example. |
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Jan 21 |
revised |
Computation of stable homotopy groups of $RP^2$ added 17 characters in body |
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Jan 21 |
answered | Computation of stable homotopy groups of $RP^2$ |
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Jan 21 |
awarded | ● Supporter |
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Jan 21 |
awarded | ● Teacher |
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Jan 21 |
answered | Different Hopf algebra structures on same graded algebra |
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Jan 15 |
awarded | ● Student |
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Jan 15 |
asked | Mod 3 Moore spectrum |
