• Tags
  • #higher-algebra #homotopy/stable-homotopy
• Refs:
  • https://people.maths.ox.ac.uk/brantner/L6.pdf
  • https://www.math.purdue.edu/~pvankoug/talks/stableinfty16.pdf
• Links:
  • spectra
  • Ind construction
  • symmetric monoidal infty category
  • spaces
  • property vs structure
  • presentable
  • accessible functor

Stable infty category

Suspension, Loops, fiber/cofiber sequences

stable infinity category

Exact triangles

Suspension

The loop and suspension adjunction:

Fibers

See arrow category.

Fiber sequences

Grothendieck group and G-theory

See K-theory and G-theory:

Connectivity

Spectra

Adjunction

See spectrum objects in an infinity category

Exactness

Duality