fundamental group

(redirected from Fundamental groups)

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.
Among their topics are on deformations and rigidity of the Godbillion Vey class, Thurston's h-principle for two-dimensional foliations of co-dimension greater than one, a few open problems on characteristic classes of foliations, on the global estimate of the Diederich-Fornaess index of Levi-flat real hyperspaces, homomorphisms on groups of volume-preserving diffeomorphisms via fundamental groups, and rotation number and lifts of a Fuchsian action of the modular group on the circle.
Representations of the fundamental groups of hyperbolic 3-manifolds.
Today the situation is similar but much more divisive with Lebanese deputies split between two fundamental groups, each with their own agenda.
The spread of fundamental Islamic practices, including strict dress codes for women (in particular), and the proliferation of Mosques belonging to these fundamental groups, is a red rag to elements of other communities, in particular to those within the Sinhala Buddhist community.
Using appropriate group presentations for the fundamental groups of the ten flat 3-manifolds, we further analyze the possible values of N(f) when f is an arbitrary selfmap.
The speakers introduce the mapping class group of a surface, geometric aspects of Teichmuller theory, homological stability, the Madsen-Weiss theorem, Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces, Teichmuller curves, and arithmetic fundamental groups.
In his petition, Dutt has said he " faces threat to life from fundamental groups with vested interests".
We regret the increase of the radical and fundamental groups in the Arab region that brings more tensions to coexistence," he said, adding that these groups "marginalize the Christian role and aim at weakening it.
Chechnya, especially after "Dudayev" came into power, established ties with the Islamic fundamental groups active in Afghanistan, Sudan, and the other international terrorist networks.
In his view, in Struga there are religious fundamental groups that protested three or four days ago.
Muslim fundamental groups alleged that she was later kidnapped by the church and prevented from public appearances.

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