{"id":3369,"date":"2013-07-17T10:21:37","date_gmt":"2013-07-17T10:21:37","guid":{"rendered":"http:\/\/math.columbia.edu\/~dejong\/wordpress\/?p=3369"},"modified":"2013-07-17T10:21:37","modified_gmt":"2013-07-17T10:21:37","slug":"lemma-of-the-day-13","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/?p=3369","title":{"rendered":"Lemma of the day"},"content":{"rendered":"

Let F be a predeformation category which has a versal formal object. Then<\/p>\n

    \n
  1. F has a minimal versal formal object,<\/li>\n
  2. minimal versal objects are unique up to isomorphism, and<\/li>\n
  3. any versal object is the pushforward of a minimal versal object along a power series ring extension.<\/li>\n<\/ol>\n

    See Tag 06T5<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Let F be a predeformation category which has a versal formal object. Then F has a minimal versal formal object, minimal versal objects are unique up to isomorphism, and any versal object is the pushforward of a minimal versal object … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3369","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3369","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3369"}],"version-history":[{"count":2,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3369\/revisions"}],"predecessor-version":[{"id":3371,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/3369\/revisions\/3371"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3369"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3369"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~dejong\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3369"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}