The attempt to construct p-adic manifolds by mimicking topological construction of real manifolds meets difficulties
Two basic philosophies concerning the construction of p-adic manifolds
Number theoretical universality and the construction of p-adic manifolds
How to achieve path connectedness?
Topics of the article
Real icosahedron and its generalization to p-adic context
What does one mean with icosahedron in real context?
What does one mean with ordinary 2-sphere?
Icosahedron in p-adic context
Trying to explain what P1(Qp) could mean technically
Generalization of P1(C) making possible to introduce Bruhat-Tits tree
Why Bruhat-Tits tree?
Bruhat-Tits tree is not enough
Bruhat-Tits tree allows to "connect" the points of p-adic icosahedron as a point set of P1(K)
Algebraic universality in TGD framework
Should one p-adicize entire space-time surfaces or restrict the p-adicization to partonic 2-surfaces and boundaries of string world sheets?
Should one p-adicize at the level of WCW?
Possible problems of p-adicization
How to define p-adic manifolds?
Algebraic and topological approach to the notion of manifold
Could topological approach to the construction of p-adic manifolds make sense in TGD framework
Could canonical identification make possible definition of integrals in p-adic context
Cut and project construction of quasicrystals from TGD point of view
What the notion of path connectedness could mean from quantum point of view?
Could correlation functions for fermion fields codate dat about geometric objects+
p-Adic variant of WCW and M-matrix
The generalizatiosn for the space of Berkovich norms in the approach based on correlation functions
Technical aspects of Bruhat-Tits tree and Berkovich disk
Why notions like Bruhat-Tits tree and Berkovich disk?
Technical aspects of Bruhat-Tits tree
The lattice construction of Bruhat-Tits tree does not work for K^n but works for P^n(K): something deep?
Some technicalities about Berkovich disk
Could the construction of Berkovich disk have a physical meaning?