"Intuitive Combinatorial Topology" is a textbook that focuses on topology, a significant subfield of mathematics. Topology studies properties of objects that remain unchanged under deformations, twists, and stretches, but not under tearing. This book covers the topology of curves and surfaces as well as fundamental concepts such as homotopy and homology. It is presented in a lively and motivating manner, making it accessible to both students and advanced learners. The relevance of topology extends across many areas of mathematics and also plays a significant role in physics, particularly in field theory, general relativity, and modern quantum theory. With over 200 problems, numerous examples, and more than 200 illustrations, the book provides a comprehensive introduction to the subject and is ideal for anyone looking to familiarize themselves with the basics of topology.