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We assume that there exists a fixed bounded set $D$ such that ${\\mathscr A}_\\lambda\\subset D$ for every $\\lambda\\in\\Lambda$. By viewing the attractors as the limit as $t\\to\\infty$ of the sets $S_\\lambda(t)D$, we give simple proofs of the equivalence of `equi-attraction' to continuity (when this convergence is uniform in $\\lambda$) and show that the attractors ${\\mathscr A}_\\lambda$ are continuous in $\\lambda$ at a res"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1407.3306","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-11T21:29:48Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"999b95f8c83405d13804dfb13c60b130479101c5793f486dd4c71f147c88ebc4","abstract_canon_sha256":"78a1433c5de58854701854830af4cb449bb48d172acc7d16c84d6b41ecd55a02"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:43.371470Z","signature_b64":"s0Ttg+Dcerk9w9CPPbiEuXkvThhy8EpDlFwJGSRTdIRqSnDVcZ9WDQpQzeD9LKOt0Q7clP70sfB55DzmwR0eDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"645440fd3c2b2f2df5f109085a8656ff9be201c9434a683012aaaf3414c04390","last_reissued_at":"2026-05-18T02:47:43.370645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:43.370645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the continuity of global attractors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AP","authors_text":"Eric J. 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