Eilenberg-Mac Lane Space

For any Abelian Group and any Natural Number , there is a unique Space (up to Homotopy type)such that all Homotopy Groups except for the th are trivial (including the 0th HomotopyGroups, meaning the Space is path-connected), and the th Homotopy Group isIsomorphic to the Group . In the case where , the Group can benon-Abelian as well.

Eilenberg-Mac Lane spaces have many important applications. One of them is that every Topological Space has theHomotopy type of an iterated Fibration of Eilenberg-Mac Lane spaces (called a Postnikov System). Inaddition, there is a spectral sequence relating the Cohomology of Eilenberg-Mac Lane spaces to the HomotopyGroups of Spheres.

• Maximum Clique Problem
• Maximum Entropy Method
• Maximum Likelihood
• Max Sequence
• Maxwell Distribution
• May's Theorem
• May-Thomason Uniqueness Theorem
• Maze
• Mazur's Theorem
• McCay Circle
• McCoy's Theorem
• McLaughlin Group
• McMohan's Theorem
• McNugget Number
• Mean
• Mean Cluster Count Per Site
• Mean Cluster Density
• Mean Curvature
• Mean Deviation
• Mean Distribution
• Mean Run Count Per Site
• Mean Run Density
• Mean Square Error
• Mean-Value Theorem
• Measurable Function