{"id":74,"date":"2019-04-30T13:49:13","date_gmt":"2019-04-30T13:49:13","guid":{"rendered":"http:\/\/localhost\/?page_id=74"},"modified":"2021-07-16T17:09:19","modified_gmt":"2021-07-16T20:09:19","slug":"notes","status":"publish","type":"page","link":"http:\/\/localhost\/index.php\/book\/notes\/","title":{"rendered":"Notes and corrections for the cartesian decompositions book"},"content":{"rendered":"<ul>\n<li><a href=\"http:\/\/localhost\/index.php\/book\/notes\/lemma-2-19\/\">Lemma 2.19, Corollary 2.21 and Theorem 3.2<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/book\/lemma-2-37\/\">Lemma 2.37<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/book\/notes\/lemma-3-1\/\">Lemma 3.1<\/a><\/li>\n<li><a href=\"http:\/\/localhost\/index.php\/book\/page-105\/\">Page 105<\/a><\/li>\n<\/ul>\n<h4>Other small errors and typos (reported by Lei Chen):<\/h4>\n<ul>\n<li>Proof of Theorem 3.12 (i), page 55, line -3 of the proof of (i): $N$ should be $N\\chi$.<\/li>\n<li>Proof of Corollary 3.13, page 57, line 1: $K \\vartheta$ should be $K\\chi$.<\/li>\n<li>Claim 2 in Proposition 3.20, page 63:\n<ul>\n<li>$\\Omega$ is the set being acted on.<\/li>\n<li>In line 1 of the proof of this claim, $\\gamma$ and $\\delta$ are <strong>both<\/strong>\u00a0contained in $\\Sigma_1$ and both contained in $\\Sigma_2$.<\/li>\n<\/ul>\n<\/li>\n<li>Page 83 line -2: In the display, the last entry on the right-hand side should be $c_k(t_1\\varphi_k)$.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Lemma 2.19, Corollary 2.21 and Theorem 3.2 Lemma 2.37 Lemma 3.1 Page 105 Other small errors and typos (reported by Lei Chen): Proof of Theorem 3.12 (i), page 55, line -3 of the proof of (i): $N$ should be $N\\chi$. Proof of Corollary 3.13, page 57, line 1: $K \\vartheta$ should be $K\\chi$. Claim 2 &hellip; <a href=\"http:\/\/localhost\/index.php\/book\/notes\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Notes and corrections for the cartesian decompositions book<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":71,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/74"}],"collection":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/comments?post=74"}],"version-history":[{"count":18,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/74\/revisions"}],"predecessor-version":[{"id":219,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/74\/revisions\/219"}],"up":[{"embeddable":true,"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/pages\/71"}],"wp:attachment":[{"href":"http:\/\/localhost\/index.php\/wp-json\/wp\/v2\/media?parent=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}