Connected Space
A Space 
is connected if any two points in can be connected by a curve lying wholly within . ASpace is 0-connected (a.k.a. Pathwise-Connected) if every Map from a 0-Sphere to theSpace extends continuously to the 1-Disk. Since the 0-Sphere is the two endpoints of an interval(1-Disk), every two points have a path between them. A space is 1-connected (a.k.a. Simply Connected) ifit is 0-connected and if every Map from the 1-Sphere to it extends continuously to a Map from the2-Disk. In other words, every loop in the Space is contractible. A Space is 
-MultiplyConnected if it is 
-connected and if every Map from the -Sphere into it extends continuouslyover the 
-Disk.
A theorem of Whitehead says that a Space is infinitely connected Iff it is contractible.
See also Connectivity, Locally Pathwise-Connected Space, Multiply Connected, Pathwise-Connected,Simply Connected- Center (Group)
- Center of Gravity
- Center of Mass
- Centillion
- Central Angle
- Central Beta Function
- Central Binomial Coefficient
- Central Conic
- Central Difference
- Centralizer
- Central Limit Theorem
- Central Trinomial Coefficient
- Centrode
- Centroid (Function)
- Centroid (Geometric)
- Centroid (Orthocentric System)
- Centroid (Triangle)
- Certificate of Compositeness
- Certificate of Primality
- Cesàro Equation
- Cesàro Fractal
- Cesàro Mean
- Ceva's Theorem
- Cevian
- Cevian Conjugate Point