TITLE: Regarding various types of topology
QUESTION [5 upvotes]: I will just start reading topology but I am confused regarding:

Point topology-Stephen Gaal
Algebraic topology- Hatcher
Combinatorial and Differential topology-Prasalov
Topology - Munkres

I am quite confused are they different topics?
Note:I searched but but I cannot understand the difference. And which topic should I start first.

REPLY [4 votes]: All four books you mention work with topological spaces.
If you begin studying topology, you will probably want to start with what is called point-set topology. This just means the part of topology that is concerned with some fundamental notions such as compactness, connectedness, ... You study properties of topological spaces (all formulated in terms of points and sets), without associating fancy objects to them.
Algebraic topology associates fancy objects to topological spaces (groups, rings) and studies the spaces through those algebraic (hence the name) objects.
Combinatorial topology is an old name for algebraic topology: some of those algebraic objects (the homology groups) have combinatorial descriptions/constructions.
Differential topology is a combination of algebraic topology and differential geometry. It is for example concerned with the relation between homology groups (purely topological notion) and the de Rham cohomology (differentiable notion).