About the book
Topology, as a well-defined mathematical discipline, originates in the early part of the twentieth century, but some further remarkable results can be traced back to several centuries. Keeping in mind that these are certain questions in geometry investigated by Leonhard Euler. His 1736 paper on the Seven Bridges of Königsberg is regarded as one of the first practical applications of topology. 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. For example, the square and the circle have many properties in common: they are both one-dimensional objects (from a topological point of view) and both separate the plane into two parts, the part inside and the part outside. Owing to these applications, researchers have taken a keen interest in the last few decades in topology. Remarkable results have been established so far.