the mathematical field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the...

The étale or algebraic fundamental group is an analogue in algebraic geometry, for schemes, of the usual fundamental group of topological spaces. In algebraic...

In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme (e.g. the spectrum of a field or...

expresses the structure of the fundamental group of a topological space X {\displaystyle X} in terms of the fundamental groups of two open, path-connected...

rap group Fundamental (Bonnie Raitt album), 1998 Fundamental (Pet Shop Boys album), 2006 Fundamental (Puya album) or the title song, 1999 Fundamental (Mental...

The Fundamental Fysiks Group was founded in San Francisco in May 1975 by two physicists, Elizabeth Rauscher and George Weissmann, at the time both graduate...

than 0. It encodes not only the topology of the surface through its fundamental group but also determines the Riemann surface up to conformal equivalence...

> 2 the fundamental group of SO(n, R) is cyclic of order 2, and the spin group Spin(n) is its universal cover. For n = 2 the fundamental group is infinite...

abelian group underlies many fundamental algebraic structures, such as fields, rings, vector spaces, and algebras. The theory of abelian groups is generally...

have the same Betti numbers but distinct fundamental groups. He posed the question of whether the fundamental group is sufficient to topologically characterize...