Open AccessOn the homeomorphism problem for 4-manifolds
Author(s) -
C. McA. Gordon
Publication year - 2022
Publication title -
new zealand journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 1179-4984
pISSN - 1171-6096
DOI - 10.53733/205
Subject(s) - homeomorphism (graph theory) , manifold (fluid mechanics) , mathematics , combinatorics , connected sum , topology (electrical circuits) , pure mathematics , simply connected space , engineering , mechanical engineering
We show that there is no algorithm to decide whether or not a given 4-manifold is homeomorphic to the connected sum of 12 copies of $S^2 \times S^2.