These are the most frequently used words in this book.
axiom
basis
belongs
called
case
choose
closed
collection
compact
components
condition
connected
consider
containing
contains
continuous
countable
covering
define
defined
definition
denote
disjoint
does
edge
element
equals
equation
example
exercises
exists
fact
figure
finite
first
following
follows
form
free
function
fundamental
given
group
hausdorff
hint
homeomorphic
homomorphism
infinite
integer
intersection
intersects
interval
lemma
let
lies
locally
loop
map
metric
must
neighborhood
normal
now
number
open
order
path
point
positive
product
proof
property
prove
quotient
r2
real
relation
result
s2
see
sequence
set
shall
show
simply
since
space
step
subgroup
subset
subspace
suppose
theorem
therefore
topological
topology
two
union
use
xo