Metric Space

A Set with a global distance Function (the Metric ) which, for every two points in ,gives the Distance between them as a Nonnegative Real Number . A metric space must alsosatisfy

1. Iff ,

2. ,

3. The Triangle Inequality .

References

Munkres, J. R. Topology: A First Course. Englewood Cliffs, NJ: Prentice-Hall, 1975.

Rudin, W. Principles of Mathematical Analysis. New York: McGraw-Hill, 1976.

• Small Multiple Method
• Small Number
• Small Retrosnub Icosicosidodecahedron
• Small Rhombicosidodecahedron
• Small Rhombicuboctahedron
• Small Rhombidodecacron
• Small Rhombidodecahedron
• Small Rhombihexacron
• Small Rhombihexahedron
• Small Snub Icosicosidodecahedron
• Small Stellapentakis Dodecahedron
• Small Stellated Dodecahedron
• Small Stellated Triacontahedron
• Small Stellated Truncated Dodecahedron
• Small Triakis Octahedron
• Small Triambic Icosahedron
• Small World Problem
• Smarandache Ceil Function
• Smarandache Constants
• Smarandache Function
• Smarandache-Kurepa Function
• Smarandache Near-to-Primorial Function
• Smarandache Paradox
• Smarandache Sequences
• Smarandache-Wagstaff Function