Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Taggar`SimplicialHomology`
HomologyGroup  |
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A direct product of groups in the output is represented as .
{,,…}
G
1
G
2
▪
The following options can be given:
▪
"Coefficients" option takes the following values:
Examples
(9)
Basic Examples
(4)
Calculate a homology group of a space:
In[1]:=
 | HomologyGroup |
 | SimplicialComplex |
Out[1]=
In[2]:=
| HomologyGroup |
| SimplicialComplex |
Out[2]=
In[3]:=
| HomologyGroup |
| SimplicialComplex |
Out[3]=
0
th
0
In[1]:=
| HomologyGroup |
| SimplicialComplex |
Out[1]=
2
Their reduced homology group:
In[2]:=
| HomologyGroup |
| SimplicialComplex |
Out[2]=
Calculate homology of a contractible complex:
In[1]:=
| HomologyGroup |
 | SimplicialComplex |
Out[1]=
0,10,20
Examples of spaces whose homology have torsion:
In[1]:=
| HomologyGroup |
| SimplicialComplex |
Out[1]=
0,1CyclicGroup[2],20
In[2]:=
| HomologyGroup |
| SimplicialComplex |
Out[2]=
0,1{,CyclicGroup[2]},20
Scope
(1)
Options
(2)
Applications
(1)
Neat Examples
(1)
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