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<email_address><span class="nowrap">Contact<span class="mw-no-invert">[[File:At sign.svg|15px|@|link=|class=skin-invert]]</span>WikiJSci.org</span></email_address>
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<registrant>WEB-FORM</registrant>
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<full_title>WikiJournal of Science/Diffeology</full_title>
<abbrev_title>Wiki.J.Sci.</abbrev_title>
<issn media_type='electronic'>2002-4436 / 2470-6345 / 2639-5347</issn>
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<doi>10.15347/WJS</doi>
<resource>http://www.WikiJSci.org/</resource>
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<publication_date media_type='online'>
<year>2026</year>
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<volume></volume>
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<issue></issue>
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<titles>
<title>Diffeology</title>
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<surname></surname>
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<surname>et al.</surname><affiliation>Wikipedia editors of Diffeology</affiliation><link>https://xtools.wmflabs.org/articleinfo/en.wikipedia.org/Diffeology//2026-07-20</link>
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<publication_date media_type='online'>
<year>2026</year>
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<doi></doi>
<resource>https://en.wikiversity.org/wiki/WikiJournal of Science/Diffeology</resource>
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<license license-type="open-access">
<license-p>CC-BY-SA 4.0</license-p>
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In mathematics, a diffeology on a set generalizes the concept of a smooth atlas of a differentiable manifold, by declaring only what constitutes the "smooth parametrizations" into the set. A diffeological space is a set equipped with a diffeology. Many of the standard tools of differential geometry extend to diffeological spaces, which beyond manifolds include arbitrary quotients of manifolds, arbitrary subsets of manifolds, and spaces of mappings between manifolds.
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