# Category:General topology

Computing portal |

Here is a list of articles in the General topology category of the Computing portal that unifies foundations of mathematics and computations using computers.
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 7 subcategories, out of 7 total.

### C

### D

### F

### S

### T

## Pages in category "General topology"

The following 166 pages are in this category, out of 166 total.

- General topology
*(computing)*

### *

- Glossary of topology
*(computing)* - List of general topology topics
*(computing)*

### A

- Adherent point
*(computing)* - Alexandroff extension
*(computing)* - Appert topology
*(computing)* - Axiom of countability
*(computing)*

### B

- Baire category theorem
*(computing)* - Baire function
*(computing)* - Baire set
*(computing)* - Baire space
*(computing)* - Banach–Mazur game
*(computing)* - Base (topology)
*(computing)* - Boundary (topology)
*(computing)*

### C

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

### D

- Denjoy–Riesz theorem
*(computing)* - Dense set
*(computing)* - Derived set (mathematics)
*(computing)* - Development (topology)
*(computing)* - Directed set
*(computing)* - Discrete space
*(computing)* - Disjoint union (topology)
*(computing)* - Divisor topology
*(computing)* - Double origin topology
*(computing)*

### E

- Eberlein compactum
*(computing)* - Either–or topology
*(computing)* - Ellis–Numakura lemma
*(computing)* - Embedding
*(computing)* - End (topology)
*(computing)* - Esakia space
*(computing)* - Esenin-Volpin's theorem
*(computing)* - Excisive triad
*(computing)* - Exhaustion by compact sets
*(computing)* - Exterior (topology)
*(computing)*

### F

- Filter (mathematics)
*(computing)* - Final topology
*(computing)* - Finite intersection property
*(computing)* - Finite topology
*(computing)* - First-countable space
*(computing)* - Fréchet–Urysohn space
*(computing)* - Furstenberg's proof of the infinitude of primes
*(computing)*

### G

- Gδ set
*(computing)* - Gδ space
*(computing)* - Generic point
*(computing)* - Gluing axiom
*(computing)*

### H

- Half-disk topology
*(computing)* - Hedgehog space
*(computing)* - Heine–Borel theorem
*(computing)* - Hilbert manifold
*(computing)*

### I

- Induced topology
*(computing)* - Initial topology
*(computing)* - Integer broom topology
*(computing)* - Interior (topology)
*(computing)* - Interlocking interval topology
*(computing)* - Irreducible component
*(computing)* - Isolated point
*(computing)*

### K

- Katětov–Tong insertion theorem
*(computing)* - Kuratowski–Ulam theorem
*(computing)*

### L

- Lawson topology
*(computing)* - Lexicographic order topology on the unit square
*(computing)* - Limit (mathematics)
*(computing)* - Limit point
*(computing)* - Lindelöf space
*(computing)* - Linear flow on the torus
*(computing)* - List of examples in general topology
*(computing)* - Local homeomorphism
*(computing)* - Local property
*(computing)* - Locally connected space
*(computing)* - Locally finite collection
*(computing)* - Locally finite space
*(computing)*

### M

- Mapping torus
*(computing)* - Meagre set
*(computing)* - Metrizable space
*(computing)* - Metrization theorem
*(computing)* - Moore space (topology)
*(computing)*

### N

- N-connected space
*(computing)* - N-skeleton
*(computing)* - Nagata–Smirnov metrization theorem
*(computing)* - Neighbourhood (mathematics)
*(computing)* - Neighbourhood space
*(computing)* - Neighbourhood system
*(computing)* - Nested interval topology
*(computing)* - Net (mathematics)
*(computing)* - Nodec space
*(computing)* - Non-Hausdorff manifold
*(computing)* - Nowhere dense set
*(computing)*

### O

- Open and closed maps
*(computing)* - Open set
*(computing)* - Order topology
*(computing)*

### P

- P-space
*(computing)* - Pair of spaces
*(computing)* - Parovicenko space
*(computing)* - Point-finite collection
*(computing)* - Pointclass
*(computing)* - Pointless topology
*(computing)* - Polish space
*(computing)* - Polyadic space
*(computing)* - Poset topology
*(computing)* - Pretopological space
*(computing)* - Prime integer topology
*(computing)* - Product topology
*(computing)*

### Q

- Quotient space (topology)
*(computing)*

### R

- Rational sequence topology
*(computing)* - Real-valued function
*(computing)* - Refinement (topology)
*(computing)* - Remote point
*(computing)*

### S

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

### T

- Thomae's function
*(computing)* - Topological game
*(computing)* - Topological indistinguishability
*(computing)* - Topological space
*(computing)* - Totally disconnected space
*(computing)* - Trivial topology
*(computing)* - Tychonoff cube
*(computing)*

### U

- Unicoherent space
*(computing)* - Uniform continuity
*(computing)* - Upper topology
*(computing)*

### V

- Volterra's function
*(computing)*

### W

- Wallman compactification
*(computing)* - Weak topology
*(computing)*

### Z

- Zariski topology
*(computing)* - Zorich's theorem
*(computing)*

### Γ

- Γ-space
*(computing)*