# Category:General topology

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In mathematics, **general topology** or **point set topology** is that branch of topology which studies properties of general topological spaces (which may not have further structure; for example, they may not be manifolds), and structures defined on them.

## Subcategories

This category has the following 9 subcategories, out of 9 total.

### C

### D

### F

### S

### T

## Pages in category "General topology"

The following 162 pages are in this category, out of 162 total. This list may not reflect recent changes (learn more).

### B

### C

- Category of topological spaces
- Cauchy space
- Cellular space
- Characterizations of the category of topological spaces
- Clopen set
- Closed set
- Closeness (mathematics)
- Closure (topology)
- Cocompact embedding
- Cocountable topology
- Coercive function
- Cofiniteness
- Coherent topology
- Compact embedding
- Compact space
- Σ-compact space
- Compact-open topology
- Compactly generated space
- Comparison of topologies
- Completely metrizable space
- Completely uniformizable space
- Connected space
- Countably generated space
- Counterexamples in Topology
- Cover (topology)
- Curve
- Cut-point
- Cylinder set

### D

### E

### F

### I

### L

### N

### P

### S

- S and L spaces
- Saturated set
- Scott continuity
- Second-countable space
- Separable space
- Sequential space
- Set-theoretic topology
- Sierpiński space
- Sober space
- Spectral space
- Standard Borel space
- Stone functor
- Stone space
- Stone–Čech compactification
- Stone's representation theorem for Boolean algebras
- Subbase
- Subspace topology

### T

### Γ

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