Goedel incompleteness theorem - a categorical approach / Diagrammes d'espace fibres principaux et spheres d'homologie

0:00 The second group is an element pair. We have, of course, an example that is univocal. But this omega and this L, everything becomes free, simply because I have a parameter S that plays its role. And then we obtain that this way, L is a k times k vibration over Vg. Moreover, it is not very difficult to compare the level L by the projection F, which I talked about earlier, with E k of E g of R, E k of E g of E, which means that the law is a 4x4 that is created in an instant way, which is well locally trivial, and L inherits its structure. Here, for ABG, we obtain two exact sites that can be linked by a Baudrillardian morphism. That is to say that the Baudrillardian 2, the exact site that we are looking at, has also a certain exact site that is associated with the Fittler-Dominion of ABG. And at the bottom, this is exactly what comes from the fact that you can factorize the vibration L on DG1DH by the diagonal action of a curve. And you remember that P is a locally trivial vibration on the same volume. These are the key terms, but they are no longer the main ones. Of course, in general, for the Parisian group, it can work. Well, then, let's look at what's going on in this diagram. This black star, if you can see it, by looking at the priorizations of this morphism... This is simply the inverse, which makes the link between geometry, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra, algebra,

2:30 So I'm going to call h of n, or h of rn, or m, and its name explains the topology of a compact convention. I'm going to call hn of n, the subgroup, which is associated with n, which is strictly the n. And if I put a point, for example, if I took h point of n, I look at the subgroup. These are transformations that leave their origin fixed. If I apply to this case, and this is where it is very important, when we have the general topology, these groups are not included in this development, to make the theory for theory. So, what do we obtain? Because of this case, I obtain the isomorphisms between the groups of tomotopies. The classical B is associated with the group H of n and all the subgroups of this group of n. The subgroups of the subgroups of n are the reserves of this group of n. The H of n is the subgroup of I plus 1. With this group, the subgroup of H of n becomes n. What is particularly interesting in geometry, in genetic topology, is the case where the big band M is equal to N plus 2. These groups of homotopies of H N plus 2 divided by N are linked to very important questions of genetic topology.

5:00 For N equal to 2, there is a local number in a molecule N plus 2 with a micro... The reason is that the H-N transformation group is homotopically close to the orthogonal group O-N+. Very simply, if you look at the two groups, we know that the two groups have a dimension that is equal to 1 over N, and the others move up to the dimension N. It's a pattern of H5 and E3 and a lot of people have asked themselves what is this pattern? Given the fact that already in the lower dimension, topologically, these terms are very important to see what happens. So, the result. I define in S5, I can do it with S1 and S2. In the following slides, we consider the pseudo-groups of the transformations of R5, which are of the form of a band, a new U of R5 is sent to a new P of R5, in the same way that the intersections with R3 are maintained.

7:30 And the definition of a space-space, not just the bottom, but a relationship of equivalence in the bottom. We can easily see that this ocean has a canine structure of a vessel, and it is a vessel that I call the F3 vessel. There are five of them, three of them, and five of them are three-dimensional. I look at the continuous sections. We can also observe that the S5 omnivores act on this beam. Each omnivore at the bottom induces an omnivore in the S5 area. The quotient, which I call S3S5, is called space. The first observation is that there is a theorem called the double suspension of the sphere of homology, which is essentially due to A-L. This means that if you take a three-sphere homology, you make the double suspension and you obtain a three-sphere S-L. With this open suspension, we can define a section, a threshold of the giant three structures. We obtain in this way a plunge of the trinomial classes of the three spheres in the set of the three structures would be 5. And then, now, if we look at it with the fifth retorical group,

10:00 We can see that there is a natural injection of this set of three structures in this group of molecules. It is clear that in the group of H5-3, the homological spheres are contained in the group of H5-3. Obviously, the topologists are happy because we can see a little bit more clearly what philosophy represents in the world. That is to say, the first miracle that occurs is in the 3rd period. Because on the left you have the domino classes, the sphere of motion. And on the right you have the domotop classes. So if a topologist manages to transform the domotop classes, There, it is known that this confirms the possibility of the calculation of this set of optomotor groups. So now I can tell you why I made the two main thumbnails. In other words, if I had this intuitive idea of the inclusion of the sphere of topology in this group of mottopi in 2001, There are three key terms that we need for mathematical demonstration. First, a good ionitonography, a classification of the two hydrophilic patients. I think that having an IQ, it works. Secondly, we have to do the theory of the cells indicated for the cells of the transcripts. We have to include there a notion called the support of transcripts. The only thing that remains is to make the connection between structure and a separate group.

12:30 And here, someone who has a little experience in mathematics says that it is necessary to take the crystal theory and adapt it to this special case. The crystal theory consists of two parts. I can tell you the first part. I just want to point out that the deformation of space and the plunge of Rn into Rn in the space of tropiomorphism of Rn over Rn works very well with these beams of three associated structures. The second part of the Kister's theory remains, about a quarter of it. I'm sorry, but it's not so much a name. Do you want to come to Bolivia to do the homotopy theory? Yes, I want to come to Bolivia to do the homotopy theory. Thank you very much for your interest and for your attention, because Pierre Archeret, Mr. Pierre Archeret, is a professor at the Université de Paris, at the Université d'Avignon, where there is a conference in Paris, and a professor at the Université de Paris, who is a professor at the Université de Paris.