Definition

Relating to the study of shapes and spaces in mathematics, especially how they are connected or arranged without considering their exact size or form.

Example

The topological properties of the surface are important in understanding its structure.

Conversation

I just started learning about topological spaces in my math class.

Oh really? That sounds interesting but a bit complicated.

Yeah, the concepts are challenging, especially understanding topological properties.

I bet! But once you get the hang of it, it must be really rewarding.

Synonyms & Antonyms

Root Explanation

Topological → It is formed from "topo-" (from Greek "topos", meaning place) and "-logical" (from Greek "logikos", meaning pertaining to reason or study). The word "topological" refers to the study of properties that remain unchanged under continuous transformations, relating to the concept of place in a logical framework.

Memory Tip

Think of 'topos' meaning 'place' and 'logical' relating to study or reasoning — topological refers to the study of places and their properties.

Visually Confused Words