Algebraic Topology

Algebraic Topology

Study of topological spaces is pre-dominant in modern mathematics. Abstract algebraic tools are used to study these topological spaces in Algebraic Topology. Using topology to understand algebra is also possible in other way round. This transformation from figures to equations could be difficult in some complicated problems. Our Algebraic Topology experts team is specialized in this field to provide the best possible solutions. Algebraic Topology homeworkhelp on this topic extends utmost standards of quality and is delivered to the student well before the deadline. Students can also benefit by enrolling in online tutoring course as well

  • Banach algebra
  • Bounded operators on a Hilbert space
  • Complex homomorphisms on a Banach algebra
  • Extreme points
  • Gelfand – Mazur theorem
  • Gelfand – Naimark theorem
  • Gelfand transform
  • Involutions
  • Krein-Milman theorem
  • Linear functionals on topological spaces
  • Maximal ideal space
  • Properties of spectra
  • Resolutions of the identity
  • Spectra radius formula
  • Spectral theorem and symbolic calculus of normal operators
  • Topologies on linear spaces
  • Unitary and projection operators
  • Weak topology