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added a paragraph and a reference to cup product, archiving the blog comment here
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-entry for hyperlinking references at small instanton
Removed redirect for regular topology to go here, as it was also being redirected to regular space.
It turns out regular topology links to the topological notion, not the site notion (that’s regular coverage). There’s also some kind of redirect clash at the former.
THis is a stub to complete a link on complexes of groups.
added some actual text to Verdier duality (in the Idea-section). But it’s no really good yet. More later…
One more in the series of Dp-D(p plus 4)-brane bound states, this one relating to small instantons
added to perverse sheaf a paragraph on the issue with and the origin of the terminology, here.
Urs had earlier started mean value theorem with just a link to Wikipedia. I have now added content. Constructive versions to come, hopefully; for now, see this forum post.
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-entry for hyperlinking references at quantum chemistry
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-entry for hyperlinking references at hydrodynamics
added pointer to today’s
I added the definition and several references on higher dimensional knots under knot.
The pages MacNeille real number and MacNeille completion disagree about whether are MacNeille real numbers. The former says the MacNeille reals are the MacNeille completion of the rationals and hence contain , whereas the latter says that the MacNeille reals are obtained by “dropping ” from that completion. Which should it be?
The Elephant also contains a definition of “MacNeille real number” that is more general than a Dedekind cut, but doesn’t contain : instead of “locatedness” (if are rationals then or ) they satisfy “if and then ” and “if and then ”. Since and are both required to be inhabited, this definition also excludes . But it’s not clear to me how it’s related to the general definition of MacNeille completion. It would be nice to include a comparison at the page MacNeille real number.
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-entry for hyperlinking references at Skyrmion and at AdS/QCD correspondence
started fiber integration
I have added some more material and some slides at persistent homology.
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-entry for hyperlinking references at gapped Hamiltonian
I have done a fair bit of editing to décalage.
expanded the Definition-section to make it contain explcitly the three different perspectives and their relation:
a) in components, b) as a restriction of ordinary décalage, c) in terms of joins and cones;
changed notation from “” to “”, not to collide with the notation for total décalage;
finally added the explicit discussion and proof that for a Kan complex, is a Kan fibration replacement of the canonical effective epimorphism . (you may remember – but hopefully not – that we had a bit of confused discussion about this a few years back, which I don’t want to keep from falling into oblivion by linking to it again… ;-)
added more references with some of the lemmas that I am citing, mostly by Danny Stevenson, and also a technical result in Joyal’s lectures.
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-entry for hyperlinking references at computational topology
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-entry for hyperlinking references at tensor network and elsewhere
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-entry for hyperlinking references at p-adic string theory
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-entry for hyperlinking references at tensor network state and holographic entanglement entropy
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-entry for hyperlinking references at tensor network and at holographic entanglement entropy
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-entry for hyperlinking references at tensor network
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-entry for hyperlinking references at computational topology
a stub for the moment just so as to give a home to
and to cross-link with p-adic AdS/CFT correspondence and tensor network states.