Topology

the long version

Topology is a major area of mathematics concerned with spatial properties that are preserved under continuous deformations of objects. It emerged through the development of concepts from geometry and set theory, such as space, dimension and transformation. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. This book on topology provides in-depth coverage of both general topology and algebraic topology. It includes many examples and figures. It will be highly beneficial for anyone needing a basic, thorough, introduction to general, algebraic topology and its applications.