# ChainComplex¶

alg_top.spad line 1362 [edit on github]

Delta Complexes are defined by a sequence of ‘face maps’, These can be represented by a list of matrices. for more documentation see: http://www.euclideanspace.com/prog/scratchpad/mycode/topology/chain/ Date Created: March 2016 Basic Operations: Related packages: Related categories: Related Domains: CoChainComplex Also See: AMS Classifications:

- coerce: % -> OutputForm
from CoercibleTo OutputForm

- hash: % -> SingleInteger
from SetCategory

- hashUpdate!: (HashState, %) -> HashState
from SetCategory

- latex: % -> String
from SetCategory

- transition_matrices: % -> List Matrix Integer
`transition_matrices(a)`

gives list of transition matrices of a.

- validate: % -> Boolean
`true`

if this is a valid chain complex, that is: 1. maps compose 2. product of adjacent maps is zero