Algebraic topology Definition and 53 Threads

  1. B

    Graduate Proving Triviality of pi_1(S^n;e) in Algebraic Topology

    Please read the following problem first: Suppose n > 1 and let S^n be the n-sphere in R^{n+1}. Let e be the unit-coordinate vector (1,0,...,0) on S^n. Prove that the fundamental group pi_1(S^n;e) is the trivial group. Okay, now my question is what does the notation "pi_1(S^n;e)" mean...
  2. MathematicalPhysicist

    Graduate Geometric Topology Vs. Algebraic Topology.

    i know that geometric topology is a field that is connected to knot theory, i wonder what are the similarities between the two subjects, and in what subject in particular they overlap?
  3. L

    Graduate Topology and algebraic topology?

    What are the main differences in approach between standard? topology and algebraic topology?