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Hiro

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Name Hiro
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Mar
10
comment Are loop spaces of homotopically equivalent spaces homotopically equivalent?
Thanks for your comment. I do not know anything about homotopy limits, but how about if the spaces are CW complexes?
Mar
10
comment Are loop spaces of homotopically equivalent spaces homotopically equivalent?
Thanks for your comment. I wonder how one can prove that $\Omega (F_{t})$ is actually a homotopy. Is it always continuous without any assumption such as locally compactness?
Mar
10
revised Are loop spaces of homotopically equivalent spaces homotopically equivalent?
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Mar
10
asked Are loop spaces of homotopically equivalent spaces homotopically equivalent?
Feb
17
awarded  Disciplined
Jan
13
revised Examples of Sheafification via Hypercovers
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Jan
13
asked Examples of Sheafification via Hypercovers
Dec
30
comment Endomomorphisms of Chain Complexes of vector spaces and determinants
Thank you for your kind! I did not think one can make any difference!
Dec
30
revised Endomomorphisms of Chain Complexes of vector spaces and determinants
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Dec
30
comment Endomomorphisms of Chain Complexes of vector spaces and determinants
Tanks for your answer! How about if one admits the difference of sign?
Dec
30
revised Endomomorphisms of Chain Complexes of vector spaces and determinants
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Dec
30
revised Endomomorphisms of Chain Complexes of vector spaces and determinants
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Dec
30
asked Endomomorphisms of Chain Complexes of vector spaces and determinants
Dec
30
revised Morphisms of Spectral Sequences and alternating products
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Dec
30
comment Morphisms of Spectral Sequences and alternating products
I mean, $E_{n}$ is a vector space equipped with filtration whose $i$th congruent is isomorphic to $E^{\infty}_{i, n-i}$. But if the notations are not clear, please think of the situation I added in the question below the "Maybe".
Dec
30
revised Morphisms of Spectral Sequences and alternating products
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Dec
30
revised Morphisms of Spectral Sequences and alternating products
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Dec
30
comment Morphisms of Spectral Sequences and alternating products
Tanks, but I could not get the point... Will you tell me the important part?
Dec
30
revised Morphisms of Spectral Sequences and alternating products
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Dec
30
revised Morphisms of Spectral Sequences and alternating products
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Dec
29
revised Morphisms of Spectral Sequences and alternating products
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Dec
29
revised Morphisms of Spectral Sequences and alternating products
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Dec
29
comment Morphisms of Spectral Sequences and alternating products
Tanks for your comment. Yes, I should heve fixed the bases. Or, if necessary, let $F=E$ and $f$ be a endomorphism of $E$. Then det is well-defined. What do you exactly mean by "sign problem" ? Is there any reference to learn the method?
Dec
29
comment Morphisms of Spectral Sequences and alternating products
Thanks for your question. $E_{n}$ denotes the $n$th term to which the spectral sequence $E$ converges i.e. $E_{a,b}^{1} \Longrightarrow E_{n}$.
Dec
29
revised Morphisms of Spectral Sequences and alternating products
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Dec
29
revised Morphisms of Spectral Sequences and alternating products
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Dec
29
asked Morphisms of Spectral Sequences and alternating products