Fiber Bundle
A fiber bundle (also called simply a Bundle) with Fiber 
is a Map 
where 
is calledthe Total Space of the fiber bundle and 
the Base Space of the fiber bundle. The main condition forthe Map to be a fiber bundle is that every point in the Base Space 
has a Neighborhood 
such that 
is Homeomorphic to 
in a special way. Namely, if
is the Homeomorphism, then
where the Map
means projection onto the component. The homeomorphisms 
which ``commute withprojection'' are called local Trivializations for the fiber bundle 
. In other words, lookslike the product 
(at least locally), except that the fibers 
for 
may be a bit ``twisted.''Examples of fiber bundles include any product 
(which is a bundle over with Fiber ), theMöbius Strip (which is a fiber bundle over the Circle with Fiber given by the unitinterval [0,1]; i.e, the Base Space is the Circle), and 
(which is a bundle over 
withfiber 
). A special class of fiber bundle is the Vector Bundle, in which the Fiber is aVector Space.
- Flexatube
- Flexible Polyhedron
- Flip Bifurcation
- Floor Function
- Floquet Analysis
- Floquet's Theorem
- Flow
- Flower
- Flower of Life
- Flow Line
- Flowsnake
- Flowsnake Fractal
- Floyd's Algorithm
- Fluent
- Fluxion
- Flype
- Flyping Conjecture
- Focus
- Fold Bifurcation
- Fold Catastrophe
- Folding
- Foliation
- Folium
- Folium of Descartes
- Follows