1. Introduction

    1. The attempt to construct p-adic manifolds by mimicking topological construction of real manifolds meets difficulties

    2. Two basic philosophies concerning the construction of p-adic manifolds

    3. Number theoretical universality and the construction of p-adic manifolds

    4. How to achieve path connectedness?

    5. About literature

    6. Topics of the article

  2. Real icosahedron and its generalization to p-adic context

    1. What does one mean with icosahedron in real context?

    2. What does one mean with ordinary 2-sphere?

    3. Icosahedron in p-adic context

  3. Trying to explain what P1(Qp) could mean technically

    1. Generalization of P1(C) making possible to introduce Bruhat-Tits tree

    2. Why Bruhat-Tits tree?

    3. Bruhat-Tits tree is not enough

    4. Bruhat-Tits tree allows to "connect" the points of p-adic icosahedron as a point set of P1(K)

  4. Algebraic universality in TGD framework

    1. Should one p-adicize entire space-time surfaces or restrict the p-adicization to partonic 2-surfaces and boundaries of string world sheets?

    2. Should one p-adicize at the level of WCW?

    3. Possible problems of p-adicization

  5. How to define p-adic manifolds?

    1. Algebraic and topological approach to the notion of manifold

    2. Could topological approach to the construction of p-adic manifolds make sense in TGD framework

    3. Could canonical identification make possible definition of integrals in p-adic context

    4. Cut and project construction of quasicrystals from TGD point of view

  6. What the notion of path connectedness could mean from quantum point of view?

    1. Could correlation functions for fermion fields codate dat about geometric objects+

    2. p-Adic variant of WCW and M-matrix

    3. The generalizatiosn for the space of Berkovich norms in the approach based on correlation functions

  7. Technical aspects of Bruhat-Tits tree and Berkovich disk

    1. Why notions like Bruhat-Tits tree and Berkovich disk?

    2. Technical aspects of Bruhat-Tits tree

    3. The lattice construction of Bruhat-Tits tree does not work for K^n but works for P^n(K): something deep?

    4. Some technicalities about Berkovich disk

    5. Could the construction of Berkovich disk have a physical meaning?