fundamental group
Sign in to savemathematical group of the homotopy classes of loops in a topological space
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Vinony's link graph records 454 inbound references to fundamental group, and connects out to homotopy, connected space and covering space.
Vinony files it under Algebraic topology and Homotopy theory.
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- Instance of
- topological property
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- Fundamental group
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Encyclopedic overview
In the mathematical field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. It records information about the basic shape, or holes, of the topological space. The fundamental group is the first and simplest homotopy group. The fundamental group is a homotopy invariant—topological spaces that are homotopy equivalent (or the stronger case of homeomorphic) have isomorphic fundamental groups. The fundamental group of a topological space
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Excerpted from Wikipedia’s “fundamental group” article, available under the CC BY-SA 4.0 licence.