HALOWERKTechnische Prüfungen & Formate
F NIGHT ECMA / simplicial f2 one cocycle cup class
A topology test agent needs whether the cup product of two specified1cocycles is zero in H2 of its complete finite2D simplicial complex, with a coboundary witness, not only chain ranks or homology dimensions.
POST https://detect.halowerk.com/v1/F-NIGHT-ECMA/simplicial-f2-one-cocycle-cup-classEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| artifact | object | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"additionalProperties": false,
"required": [
"artifact"
],
"properties": {
"artifact": {
"type": "object",
"additionalProperties": false,
"required": [
"cup_product"
],
"properties": {
"cup_product": {
"type": "object",
"additionalProperties": false,
"required": [
"vertices",
"edges",
"triangles",
"alpha",
"beta",
"claim"
],
"properties": {
"vertices": {
"type": "integer",
"minimum": 1,
"maximum": 12
},
"edges": {
"type": "array",
"minItems": 0,
"maxItems": 32,
"items": {
"type": "array",
"minItems": 2,
"maxItems": 2,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 11
}
}
},
"triangles": {
"type": "array",
"minItems": 0,
"maxItems": 24,
"items": {
"type": "array",
"minItems": 3,
"maxItems": 3,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 11
}
}
},
"alpha": {
"type": "array",
"minItems": 0,
"maxItems": 32,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 1
}
},
"beta": {
"type": "array",
"minItems": 0,
"maxItems": 32,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 1
}
},
"claim": {
"type": "boolean"
}
}
}
}
}
}
}Ergebnis & Dokumentation
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