Practice - Existence and Uniqueness
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a cover in a poset.
💡 Hint: Consider the direct relationship without gaps.
What is a maximal element?
💡 Hint: Think of elements at the top of the Hasse diagram.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does a cover require in a poset?
💡 Hint: Think about what it means to have no barriers.
True or False: A minimal element can be maximal.
💡 Hint: Consider a single node in the diagram.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Construct a poset with at least 5 elements showing both maximal and minimal elements. Prove their existence.
💡 Hint: Map relationships that create a hierarchy.
Given a poset, determine if a greatest or least element exists. If it doesn’t, characterize the elements.
💡 Hint: Focus on connectivity and relations.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.