topology strengthening

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• Moore space (topology) — In mathematics, more specifically point set topology, a Moore space is a developable regular Hausdorff space. Equivalently, a topological space X is a Moore space if the following conditions hold: Any two distinct points can be separated by… …   Wikipedia

• Magnesium transporter — This page links directly from the magnesium in biological systems page. Magnesium transporters are proteins that transport magnesium across the cell membrane. All forms of life require magnesium, yet the molecular mechanisms of Mg2+ uptake from… …   Wikipedia

• Magnesium transporters — This page links directly from the magnesium in biological systems page. All forms of life require magnesium, and yet the molecular mechanisms of Mg2+ uptake from the environment and the distribution (transport) of this vital element within the… …   Wikipedia

• Jordan curve theorem — Illustration of the Jordan curve theorem. The Jordan curve (drawn in black) divides the plane into an inside region (light blue) and an outside region (pink). In topology, a Jordan curve is a non self intersecting continuous loop in the plane.… …   Wikipedia

• Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… …   Wikipedia

• Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… …   Wikipedia

• Paul Olum — (August 16 1918 January 19 2001) was an American mathematician and university administrator.Early yearsPaul Olum was born in Binghamton, New York. His father was a Jewish businessman who had fled Russia at the age of nine to escape persecution.… …   Wikipedia

• Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… …   Wikipedia

• Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

• Hemicontinuity — In mathematics, the concept of continuity as it is defined for single valued functions is not immediately extendible to multi valued mappings or correspondences. In order to derive a more generalized definition, the dual concepts of upper… …   Wikipedia

• Introduction to systolic geometry — Systolic geometry is a branch of differential geometry, a field within mathematics, studying problems such as the relationship between the area inside a closed curve C , and the length or perimeter of C . Since the area A may be small while the… …   Wikipedia