{ localUrl: '../page/5t8.html', arbitalUrl: 'https://arbital.com/p/5t8', rawJsonUrl: '../raw/5t8.json', likeableId: '3426', likeableType: 'page', myLikeValue: '0', likeCount: '1', dislikeCount: '0', likeScore: '1', individualLikes: [ 'KevinClancy' ], pageId: '5t8', edit: '1', editSummary: '', prevEdit: '0', currentEdit: '1', wasPublished: 'true', type: 'comment', title: '"Not clear what this means?"', clickbait: '', textLength: '26', alias: '5t8', externalUrl: '', sortChildrenBy: 'recentFirst', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'EricBruylant', editCreatedAt: '2016-08-08 14:02:08', pageCreatorId: 'EricBruylant', pageCreatedAt: '2016-08-08 14:02:08', seeDomainId: '0', editDomainId: 'AlexeiAndreev', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'true', isApprovedComment: 'true', isResolved: 'true', snapshotText: '', anchorContext: 'Show solution\n\nNote that our description of Hasse diagrams made use of the covers relation $\\prec$\\. The covers relation, however, is not a helpful in many posets\\. Consider the poset $\\langle \\mathbb R, \\leq \\rangle$ of the real numbers ordered by the standard comparison $\\leq$\\. We have $0 < 1$, but how would we convey that with a Hasse diagram? The problem is that $0$ has no covers, even though it is not a maximal element in $\\mathbb R$\\. In fact, for any $x \\in \\mathbb R$ such that $x > 0$, we can find a $y \\in \\mathbb R$ such that $0 < y < x$\\. This "infinite density" of $\\mathbb R$ makes it impossible to depict using a Hasse diagram\\.\n\n', anchorText: 'The covers relation, however, is not a helpful in many posets\\.', anchorOffset: '101', mergedInto: '', isDeleted: 'false', viewCount: '102', text: 'Not clear what this means?', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '1', maintainerCount: '1', userSubscriberCount: '0', lastVisit: '', hasDraft: 'false', votes: [], voteSummary: 'null', muVoteSummary: '0', voteScaling: '0', currentUserVote: '-2', voteCount: '0', lockedVoteType: '', maxEditEver: '0', redLinkCount: '0', lockedBy: '', lockedUntil: '', nextPageId: '', prevPageId: '', usedAsMastery: 'false', proposalEditNum: '0', permissions: { edit: { has: 'false', reason: 'You don't have domain permission to edit this page' }, proposeEdit: { has: 'true', reason: '' }, delete: { has: 'false', reason: 'You don't have domain permission to delete this page' }, comment: { has: 'false', reason: 'You can't comment in this domain because you are not a member' }, proposeComment: { has: 'true', reason: '' } }, summaries: {}, creatorIds: [ 'EricBruylant' ], childIds: [], parentIds: [ 'poset_exercises' ], commentIds: [], questionIds: [], tagIds: [], relatedIds: [], markIds: [], explanations: [], learnMore: [], requirements: [], subjects: [], lenses: [], lensParentId: '', pathPages: [], learnMoreTaughtMap: {}, learnMoreCoveredMap: {}, learnMoreRequiredMap: {}, editHistory: {}, domainSubmissions: {}, answers: [], answerCount: '0', commentCount: '0', newCommentCount: '0', linkedMarkCount: '0', changeLogs: [ { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '18591', pageId: '5t8', userId: 'EricBruylant', edit: '1', type: 'newEdit', createdAt: '2016-08-08 14:02:08', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' } ], feedSubmissions: [], searchStrings: {}, hasChildren: 'false', hasParents: 'true', redAliases: {}, improvementTagIds: [], nonMetaTagIds: [], todos: [], slowDownMap: 'null', speedUpMap: 'null', arcPageIds: 'null', contentRequests: {} }