A connective spectrum has for . This makes the homological Atiyah-Hirzebruch spectral sequence first quadrant for a based space, and prevents negative coefficient degrees from affecting its first nonzero represented homology theory.
The term "connective spectrum" is not widely recognized in established scientific literature or common terminology as of my last training cut-off in October 2023. It might be a specialized term from a specific field or a colloquial phrase used in a particular context.
New to topics? Read the docs here!