| Created: | 10/04/2008 12:16:11 |
| Modified: | 28/05/2009 08:14:51 |
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| Advanced: |
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4.101 topological complex<br /></p><p>collection of topological primitives that is closed under the boundary operations <br /></p><p><br /></p><p>NOTE: Closed under the boundary operations means that if a primitive is in the complex, then its boundary objects are also in the complex.<br /></p>
- Operations
- Associations To
- Associations From
- Tagged Values
- Other Links
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Public boundary():TP_ComplexBoundary |
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Sequential
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Public closure():Set<TP_Primitive> |
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Sequential
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Public coBoundary():Set<TP_DirectedTopo> |
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Sequential
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Public dimension():Integer |
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Sequential
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Public exterior():Set<TP_Primitive> |
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Sequential
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Public interior():Set<TP_Primitive> |
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Sequential
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Public isConnected():Boolean |
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Sequential
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Public isMaximal():Boolean |
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Sequential
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Public maximalComplex():TP_Complex |
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Sequential
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Public TP_Complex( GC: GM_Complex,
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Sequential
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| Element | Source Role | Target Role |
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«type» TP_Complex Class |
Name: |
Name: maximalComplex |
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«type» TP_Complex Class |
Name: subComplex |
Name: superComplex |
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subcomplex (of a larger complex)<br /></p><p>complex all of whose elements are also in the larger complex<br /></p><p><br /></p><p>NOTE: Since the definition of complex requires only that the boundary operator be closed, then the set of any primitives of a particular dimension and below is always a subcomplex of the original, larger complex. Thus, any full planar topological complex contains an edge-node graph as a subcomplex.<br /></p>
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| Element | Source Role | Target Role |
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«type» TP_Primitive Class |
Name: |
Name: maximalComplex |
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Details:
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«type» TP_Primitive Class |
Name: element |
Name: complex |
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Details:
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«type» TP_Complex Class |
Name: |
Name: maximalComplex |
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«type» TP_Complex Class |
Name: subComplex |
Name: superComplex |
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Details:
subcomplex (of a larger complex)<br /></p><p>complex all of whose elements are also in the larger complex<br /></p><p><br /></p><p>NOTE: Since the definition of complex requires only that the boundary operator be closed, then the set of any primitives of a particular dimension and below is always a subcomplex of the original, larger complex. Thus, any full planar topological complex contains an edge-node graph as a subcomplex.<br /></p>
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«type» GM_Complex Class |
Name: geometry |
Name: topology |
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Details:
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| Tag | Value |
| persistence | persistent |
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Details:
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| Object | Type | Connection | Direction | Notes |
| «type» NT_Network | Class | Generalization | From | |
| «interface» TP_Object | Interface | Realization | To |