{
  "annotation_id": "43cd4a9f-6189-4ae8-8f7e-c3bc21fc5716",
  "date_created": "2026-02-17T05:53:08.668000Z",
  "date_modified": "2026-02-17T05:53:08.668000Z",
  "file_hash": "dedc82037fc55eeadef5ad285d31ad6e529999401ecf5fd9e56bffd5e4a2932b",
  "private": false,
  "record": {
    "abstract": "In this paper we prove that, for a compact group $G$, a metrizable $G$-space is a $G$-ANR under the following asumptions: (1) if it dominates a $G$-ANR space through a fine $G$-homotopy equivalence; (2) if it is $G$-homotopy dense in a $G$-ANR; (3) if it contains a $G$-ANR as a $G$-homotopy dense subset; (4) if it is the inverse limit of an inverse sequence of $G$-ANR spaces with bonding maps that are fine $G$-homotopy equivalences.",
    "arxiv_id": "2601.07027",
    "authors": [
      "Sergey A. Antonyan",
      "Aura Lucina Kant\u00fan-Montiel",
      "Jes\u00fas Eduardo Mata-Cano",
      "Armando Mata-Romero"
    ],
    "categories": [
      "math.GT",
      "math.AT",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Characterizations of $G$-ANR spaces and inverse limits",
    "url": "https://arxiv.org/abs/2601.07027",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a1d6d7ae-35f9-48d1-8254-f6dbd26cf45b",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}