Bordism Group

There are bordism groups, also called Cobordism Groups or Cobordism Rings, and there are singular bordism groups. The bordism groups give a framework for getting a grip on the question, ``Whenis a compact boundaryless Manifold the boundary of another Manifold?'' The answer is, precisely when all of itsStiefel-Whitney Classes are zero. Singular bordism groups give insight into Steenrod'sRealization Problem: ``When can homology classes be realized as the image of fundamental classes of manifolds?'' That answeris known, too.

The machinery of the bordism group winds up being important for Homotopy Theory as well.

References

Budney, R. ``The Bordism Project.'' http://math.cornell.edu/~rybu/bordism/bordism.html.

• Major Axis
• Major Triangle Center
• Makeham Curve
• Malfatti Circles
• Malfatti Points
• Malfatti's Right Triangle Problem
• Malfatti's Tangent Triangle Problem
• Malliavin Calculus
• Mallow's Sequence
• Malmstén's Differential Equation
• Maltese Cross
• Maltese Cross Curve
• Malthusian Parameter
• Mandelbar Set
• Mandelbrot Set
• Mandelbrot Tree
• Mangoldt Function
• Manifold
• Mantissa
• Map
• Map Coloring
• Mapes' Method
• Map Folding
• Mapping (Function)
• Mapping Space