On the fundamental group-scheme

On the Local Unipotent Fundamental Group Scheme

We prove a local, unipotent, analog of Kedlaya’s theorem for the pro-p part of the fundamental group of integral affine schemes in characteristic p.

2 5 M ay 2 00 6 Some Remarks on the Local Fundamental Group Scheme

2 6 M ay 2 00 6 Some Remarks on the Local Fundamental Group Scheme

The Fundamental Group

The focus of this exposition is the fundamental group of a topological space. The paper begins by defining paths and homotopy, and proceeds to construct the fundamental group. Later, attention turns to the consequences of the construction, in particular to the fundamental group of S1 and Van Kampen’s Theorem.

The Fundamental Group

This is the next article in a series devoted to the homotopy theory (following [11] and [12]). The concept of fundamental groups of pointed topological spaces has been introduced. Isomorphism of fundamental groups defined with respect to different points belonging to the same component has been stated. Triviality of fundamental group(s) of R n has been shown. the terminology and notation for th...