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Unable to coerce dictionary to morphism between finite posets

asked 2016-07-09 03:53:21 -0600

jobrien715 gravatar image

updated 2016-07-12 13:32:06 -0600

FrédéricC gravatar image

Using the code below, I am unsure why I cannot form the identity map (or others such as constant maps) via dictionary. I have done the same process for finite simplicial complexes, so maybe this isn't implemented for finite posets? Thanks for any help!

The input:

X=Poset({1:[],2:[1]})
Hom(X,X)({1:1,2:2})

The output error message:

TypeError: Unable to coerce x (={1: 1, 2: 2}) to a morphism in Set of Morphisms from Finite poset containing 2 elements to Finite poset containing 2 elements in Join of Category of finite posets and Category of finite enumerated sets and Category of facade sets

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I'm not positive, but it looks like morphisms of posets are not implemented.

John Palmieri gravatar imageJohn Palmieri ( 2016-07-09 10:17:44 -0600 )edit

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answered 2016-07-09 16:18:07 -0600

jobrien715 gravatar image

Was given the following (tweaked) solution using lambda functions on sage-support:

X=Poset({1:[],2:[1]})
Hom(X,X)(lambda x:{1:1,2:2}[x])

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Asked: 2016-07-09 03:53:21 -0600

Seen: 36 times

Last updated: Jul 09 '16