fundamental group


Also found in: Wikipedia.

fundamental group

[¦fən·də¦ment·əl ′grüp]
(communications)
In wire communications, a group of trunks that connect each local or trunk switching center to a trunk switching center of higher rank on which it homes; the term also applies to groups that interconnect zone centers.
(mathematics)
For a topological space, the group of homotopy classes of all closed paths about a point in the space; this group yields information about the number and type of “holes” in a surface.
References in classic literature ?
But then New York, as far back as the mind of man could travel, had been divided into the two great fundamental groups of the Mingotts and Mansons and all their clan, who cared about eating and clothes and money, and the Archer-Newland- van-der-Luyden tribe, who were devoted to travel, horticulture and the best fiction, and looked down on the grosser forms of pleasure.
They explore the fiberings in such terms of groups actions and the fundamental group, defining the Seifert fibering, Lie groups, a generalization of Bieberbach's theorems, locally injective Seifert fiberings with torus fibers, and deforming spaces.
His experience in international equity investing coupled with his skill and renown in stock analysis will be a tremendous asset to our growing International Growth Opportunities strategy," said Ned Riley, chief investment officer of SSgA's active fundamental group.
It covers paths and homotopies, the topology of the plane, integrals and the winding number, vector fields and the rotation number, the winding number in functional analysis, coverings and the fundamental group, and the Bott periodicity theorem.
It surveys several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
Among homotopy topics are the fundamental group of a circle and applications, on classifying manifolds and related topics, covering spaces, and applications in group theory.
Working from rigorous theorems and proofs, and offering a broad array of examples and applications he covers point set topology, combinatorial topology, differential topology, geometric topology and algebraic topology in chapters on continuity, compactness and connectedness, manifolds and complexes, homotopy and the winding number, fundamental group, and homology.
The text's seven chapters cover deformations, knots an links, surfaces, three-dimensional manifolds, fixed points, the fundamental group, and metric and topological spaces.
Will Schutz, (1925-2002) created the FIRO Psychometric, which examines our fundamental group needs and is based on evolutionary psychology.
Al-Jehani also referred to the Universal Declaration of Human Rights, which considers that the family is the natural and fundamental group unit of society and is entitled to protection by society and the state.
She referred to the Universal Declaration of Human Rights, which considers that family is the natural and fundamental group unit of society and is entitled to protection by society and the State.
First of all, the reasons behind the creation of ISIS [Islamic State in Iraq and Syria] must be identified so that the eradication of this fundamental group will be successfully achieved.

Full browser ?