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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

17 votes
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K-theory as a generalized cohomology theory

1 is doubly wrong. First, you need to distinguished generalized cohomology theories and reduced generalized cohomology theories. If you want to work with the latter, you should replace "a point" in …
Reid Barton's user avatar
  • 25.2k
24 votes

Why are spectral sequences so ubiquitous?

Let me first try to answer a simpler question: Why are long exact sequences so ubiquitous? Almost anything that is written as a capital letter, followed by a subscript i or superscript -i, i an …
Reid Barton's user avatar
  • 25.2k