Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Taggar`SimplicialHomology`
HomologyGroup  |
|
| | ||||
|
| | ||||
|
| | ||||
|
| | ||||
▪
▪
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
(13)
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]=
0,1,20
2
In[2]:=
| HomologyGroup |
| SimplicialComplex |
Out[2]=
0,1⊕,20
2
Scope
(2)
Options
(2)
Applications
(1)
Properties & Relations
(3)
Neat Examples
(1)
 |
|
 |
|
""