simply connected space

(redirected from Doubly connected)

simply connected space

[′sim·plē kə¦nek·təd ′spās]
(mathematics)
A topological space whose fundamental group consists of only one element; equivalently, all closed curves can be shrunk to a point.
References in periodicals archive ?
We only discuss the cases of connectivity greater than 2, since the simply and doubly connected cases have been thoroughly treated elsewhere by somewhat more specialized techniques.
We will mainly discuss the cases of connectivity m [greater than or equal to] 3 here, since the simply and doubly connected cases are thoroughly treated in [26, 30].
Some additional code used here, such as Gauss-Jacobi integration routines to handle the singularities in the Schwarz-Christoffel integrals, is taken from SC Toolbox [25, 26], an existing Matlab package for computing Schwarz-Christoffel maps for various simply and doubly connected geometries.
WANG, Examples of the crowding phenomenon for conformal maps of doubly connected regions, preprint.
I am thus doubly connected to even the far reaches of this planet.
A software package implementing Schwarz-Christoffel Conformal transformation (or mapping) of doubly connected polygonal regions is fully described in this article from mathematical, numerical, and practical perspectives.
Additional Key Words and Phrases: Accessory parameters, doubly connected region, numerical conformal mapping, Schwarz-Christoffel conformal transformation, system of nonlinear equations
A software package (named DSCPACK) implementing Schwarz-Christoffel conformal transformation for doubly connected polygonal regions is described in this article.
On the other hand, the slow development of mathematical software for computing Schwarz-Christoffel mapping of doubly connected regions has hindered many potential applications, although Daeppen [1988] made the first successful attempt of implementing (1.