Category:Examples of Topologies

A

• [×] Arens-Fort Space‎ (27 P)

B

• [+] Banach Spaces‎ (2 C, 7 P)
• [×] Box Topology‎ (1 P)

C

• [×] Cantor Set‎ (empty)
• [×] Cantor Space‎ (19 P)
• [+] Closed Extension Topology‎ (1 C, 8 P)
• [×] Compact Complement Topology‎ (15 P)
• [×] Countable Complement Topology‎ (24 P)

D

• [×] Discrete Topology‎ (52 P)
• [×] Double Pointed Topology‎ (17 P)

E

• [×] Either-Or Topology‎ (17 P)

E cont.

• [+] Euclidean Space‎ (1 C, 6 P)
• [+] Excluded Point Topology‎ (2 C, 29 P)
• [×] Excluded Set Topology‎ (2 P)
• [×] Extended Real Number Space‎ (2 P)

F

• [×] Finite Complement Topology‎ (24 P)
• [×] Fort Space‎ (23 P)
• [×] Fortissimo Space‎ (21 P)

G

• [×] Generalized Euclidean Space‎ (2 P)

H

• [×] Higher-Aleph Complement Topology‎ (1 P)
• [+] Hilbert Spaces‎ (2 C, 33 P)

I

• [×] Included Set Topology‎ (4 P)

I cont.

• [×] Indiscrete Topology‎ (29 P)

M

• [×] Modified Fort Space‎ (15 P)
• [×] Multiple Pointed Topology‎ (1 P)

O

• [+] Open Extension Topology‎ (2 C, 18 P)
• [×] Order Topology‎ (2 P)

P

• [+] Particular Point Topology‎ (2 C, 39 P)
• [+] Partition Topology‎ (2 C, 14 P)

R

• [×] Rational Number Space‎ (4 P)
• [×] Real Number Space‎ (19 P)

S

• [×] Sorgenfrey Line‎ (5 P)

T

• [×] Trivial Topological Space‎ (1 P)