Acyclic model
Generalizes showing that two homology theories are isomorphic / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Acyclic model?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
In algebraic topology, a discipline within mathematics, the acyclic models theorem can be used to show that two homology theories are isomorphic. The theorem was developed by topologists Samuel Eilenberg and Saunders MacLane.[1] They discovered that, when topologists were writing proofs to establish equivalence of various homology theories, there were numerous similarities in the processes. Eilenberg and MacLane then discovered the theorem to generalize this process.
It can be used to prove the Eilenberg–Zilber theorem; this leads to the idea of the model category.