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location National University of Singapore
age 30
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seen Apr 12 at 12:24

I am a graduate student at the National University of Singapore studying complex geometry with To Wing Keung.


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9
revised Multivariate ML inequality and holomorphic functions on the closed unit ball
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9
revised Multivariate ML inequality and holomorphic functions on the closed unit ball
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asked Multivariate ML inequality and holomorphic functions on the closed unit ball
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asked Reverse plane geometry, anyone?
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accepted Does a graded vector space isomorphism between the homology of two loop spaces imply the existence of an algebra isomorphism?
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comment Does a graded vector space isomorphism between the homology of two loop spaces imply the existence of an algebra isomorphism?
Of course, for simplicity, we can assume that both $X$ and $Y$ has homology which is finitely generated in each degree.
Nov
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comment Does a graded vector space isomorphism between the homology of two loop spaces imply the existence of an algebra isomorphism?
Thank you Eric for your answer. You answer together with Tyler's answer leaves just one case, where we know only that one of $X$ or $Y$ is the suspension of a connected space.
Nov
4
comment Does a graded vector space isomorphism between the homology of two loop spaces imply the existence of an algebra isomorphism?
Ah, in the example I have in mind, in fact $Y= \Sigma Y'$ is the suspension of some other space, and hence is simply connected. Noting Tyler's answer, I now realize that this added condition of $Y$ being a suspension space is crucial.
Nov
4
asked Does a graded vector space isomorphism between the homology of two loop spaces imply the existence of an algebra isomorphism?