Loop Space

Let be the set of continuous mappings . Then the Topological Space for supplied with a compact-opentopology is called a Mapping Space, and if is taken as the interval , then is called a loopspace (or Space of Closed Paths).

References

Brylinski, J.-L. Loop Spaces, Characteristic Classes and Geometric Quantization. Boston, MA: Birkhäuser, 1993.

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 658, 1980.

• Hanoi Graph
• Hanoi Towers
• Hansen-Bessel Formula
• Hansen Chain
• Hansen Number
• Hansen's Problem
• Happy Number
• Harada-Norton Group
• Harary Graph
• Hard Hexagon Entropy Constant
• Hard Square Entropy Constant
• Hardy-Littlewood Conjectures
• Hardy-Littlewood Constants
• Hardy-Littlewood k-Tuple Conjecture
• Hardy-Littlewood Tauberian Theorem
• Hardy-Ramanujan Number
• Hardy-Ramanujan Theorem
• Hardy's Inequality
• Hardy's Rule
• Harmonic Addition Theorem
• Harmonic Analysis
• Harmonic Brick
• Harmonic Conjugate Function
• Harmonic Conjugate Points
• Harmonic Coordinates