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Topology deals with the Space-Properties being preserved under continuous deformations by considering the Open-Sets. This [course_title] will help you solve properly the problems related to The Study of Qualitative Properties of Certain-Objects in Topological-Spaces by exploring the foundations of mathematics aspiring you to be a professional mathematician, introducing you to the field of topology and the meaning of doing mathematics, writing mathematical text according to the standards of the profession.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Logic and Foundations 00:30:00
Connected Spaces, Compact Spaces 00:15:00
Well-ordered Sets, Maximum Principle 00:45:00
Countability and Separation Axioms 00:15:00
Urysohn Lemma, Metrization – Part 1 00:45:00
Urysohn Lemma, Metrization – Part 2 00:30:00
Tietze Theorem – Part 1 00:45:00
Tietze Theorem – Part 2 00:30:00
Tychonoff Theorem, Stone-Cech Compactification 00:15:00
Imbedding in Euclidean Space – Part 1 00:15:00
Imbedding in Euclidean Space – Part 2 00:15:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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