Topology

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Topologies on Finite Sets I

TOPO-JMYBEH

Consider the set $X=\{0,1\}$. Which of the following define topologies on $X$?

Select ALL that apply.

A

$\tau_1=\{\emptyset, X\}$

B

$\tau_2 = \{\emptyset, \{0\}, X\}$

C

$\tau_3 = \{\emptyset, \{1\}, X\}$

D

$\tau_4 = \{\emptyset, \{0\}, \{1\}\}$

E

$\tau_5 = \{\emptyset, \{0\}, \{1\}, X\}$