{
  "abstract": "Easy lowering local minima, after introducing {\\it valley functions\\/} on smooth mani\\-folds gives, without gluing technicities, ``M. Morse's lemma's''~: canonical form, moving critical values and eliminating pair of critical points theorems, reducing the last to its one dimensional case.",
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  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Alexis Marin Bozonat"
    },
    {
      "name": "Greg Mcshane"
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  "bibtex": "https://research.draconitic.com/paper/crpv6c1nb15ps.bib",
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  "doi": null,
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  "id": "crpv6c1nb15ps",
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  "landing_url": "https://hal.science/hal-05248312v4",
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  "licence": "CC-BY-4.0",
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  "pdf_url": "https://hal.science/hal-05248312/document",
  "pmcid": null,
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  "published": "2026-10-09",
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  "ris": "https://research.draconitic.com/paper/crpv6c1nb15ps.ris",
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      "first_seen": "2026-10-30T12:17:53Z",
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
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  "title": "C'est un petit val qui mousse de fonctions",
  "title_text": "C'est un petit val qui mousse de fonctions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:53Z",
  "url": "https://research.draconitic.com/paper/crpv6c1nb15ps",
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