(1) 57:01 The Effect of Free Boundary Conditions on the Ising Model in High Dimensions 31:49 How round is a Jordan curve_ 54:24 Emergence of diverse collective behaviors from local topological perception 1:00:36 A probabilistic view of the box-ball system and other discrete integrable ...
47 Thomas Krajewski - A twisted version of Kitaev’s quantum double model 47:12 Sanjaye Ramgoolam - Combinatorial topological quantum field theories and geometr 55:05 Jérémie Bouttier - Géométrie des cartes aléatoires décorées l’exemple du modèle 1:14:21 Josselin Garnier, Correlation-based...
I was recently working on some Haskell code (for research, withJack Hughes) and happened to be using a monoid (via theMonoidtype class) and I was rushing. I accidentally wrotex `mempty` yinstead ofx `mappend` y. The code withmemptytype checked and compiled, but I quickly noticed some...
Distributions on a Grothendieck topos were introduced by Lawvere [12] (cf. also [13]) as a generalization of the classical notion (cf. [20]) of real-valued distributions on a topological space. The cosheaves approach to distributions which is implicit in work of Pitts [19] is used here ...
In order to find a more subtle way for comprehending topology, the article shows that there exists an entirely different tradition of topological thought, which is explicitly connected to the problematic around the notion of ontology. An alternative approach is suggested, where not only the ...
By combining two old results on strong functors, we show that any cartesian monad on an arbitrary topos has a canonical extension to an indexed monad; this suffices to extend the arguments employed in the topos of sets to an arbitrary Boolean base topos, but we also show how they fail in...
So why is a Heyting algebra atopologicalconstruct? Consider any topological space as given by a collection of open sets, satisfying the usual principles (including the empty set and the total set, and closed under union and finite intersection). These covers have a partial ordering, given by ...
aPAPPA REALE 真正的婴儿食品[translate] anode as well as for the network as a whole. 整体上结并且为网络。[translate] aThe topological analysis of compound 1 has been performed on the TOPOS40 program giving the long vertex symbols of the two nodes as 6·6·6 and 6}8z}6}83}6}83, resp...
The main result states that the basic comparison map from the paths fundamental group to the (unpointed version of the) Grothendieck fundamental group is an equivalence, under assumptions of the “locally paths simply connected” sort, as for topological spaces....
a结束伪单身 Finished falsely unmarried[translate] aThe topological analysis of compound 1 has been performed on the TOPOS40 program giving the long vertex symbols of the two nodes as 6·6·6 and 6}8z}6}83}6}83, respectively. 对化合物1的拓扑学分析在给二个结的长的端点标志TOPOS40节目执行了...