Explore the fundamental concepts of algebraic topology in this comprehensive lecture. Delve into the definition of homeomorphism between topological spaces and understand why the line and circle are not homeomorphic. Discover a novel approach to introducing group structure on a circle or general conic, providing a gentle introduction to group theory. Gain insights into projective geometry through Pascal's theorem. Led by N J Wildberger, a renowned mathematician and advocate for logical thinking in mathematics, this lecture offers a solid foundation for beginners in algebraic topology while incorporating elements of rational trigonometry and projective geometry.