Topological Spaces | MCQs

Explanation

Topology is a branch of mathematics that studies the properties of space that are preserved under continuous transformations like stretching and bending, without tearing or gluing.

It focuses on concepts such as continuity, compactness, and connectedness.

Explanation

Simply Connected: A region is simply connected if every closed curve within it can be continuously shrunk to a point without leaving the region.

Multi-Connected: A region is multi-connected if it is not simply connected.

This meaning it has "holes" or other topological features that prevent some closed curves from being shrunk to a point within the region.