{
  "aliases": [
    "surjective-isometry",
    "bijective-isometry"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0VRD8GC5BM"
    }
  ],
  "body": "\n## Summary\n\nAn isometric isomorphism is a bijective isometry between metric spaces.\nTwo metric spaces with an isometric isomorphism between them have the same metric properties.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "aliases": [
      "surjective-isometry",
      "bijective-isometry"
    ],
    "kind": "concept",
    "msc": [
      "54E40"
    ],
    "name": "Isometric isomorphism",
    "sources": [
      {
        "locator": "Definition",
        "url": "https://en.wikipedia.org/wiki/Isometry"
      }
    ],
    "tag": "0ZXSF2YQV2"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0ZXSF2YQV2/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0ZXSF2YQV2.md",
  "msc": [
    "54E40"
  ],
  "name": "Isometric isomorphism",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0ZX/0ZXSF2YQV2.md",
  "status": null,
  "tag": "0ZXSF2YQV2",
  "uri": "m2://0ZXSF2YQV2",
  "url": "https://math2.tamnd.com/wiki/isometric-isomorphism/",
  "writing": {
    "tag": "0ZXSF2YQV2",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
