Acyclic may refer to: In chemistry, a compound which is an open-chain compound, e.g. alkanes and acyclic aliphatic compounds In mathematics: A graph without a cycle, especially A directed acyclic graph An acyclic complex is a chain complex all of whose homology groups are zero An acyclic sheaf is a sheaf all of whose higher sheaf cohomology groups are zero An acyclic space is a topological space all of whose homology groups are zero In economics, an economic indicator with little or no correlation to the business cycle