standard topology
continuum
valuation
real number line
extended real number system
domain
real matrix
measurable function
cyclotomic field
Archimedean property
Harnack's curve theorem
irrational
irrational number
hypercomplex number
Riemann sphere
complex number
ceiling function
noninteger
posynomial
split-complex number
root system
real-valued
complex
floor function
number
n space
Cantor-Bendixson theorem
phase
real line
majorization
algebraic integer
supercube
hyperbolic plane
imaginary
second-countable
continuous function
nonstandard number
set function
productive
point cloud
semicreative
creative
genus
real vector space
algebraic number field
complex quantity
imaginary number
σ-finite measure
real number system
multicomplex
Stark-Heegner theorem
diagonal argument
orbifold
number-theoretic function
positional representation system
tropical geometry
quintinvariant
Cayley-Dickson construction
algebraic number
Blum integer
direct product
positional notation
nonstandard analysis
three-space
Riemannian manifold
Dedekind cut
phase space
absolute value
Euclidean space
Cartesian space
prime quantity
curve
generic property
prime
tesseral
n-dimensional
surreal number
Sierpinski number
Hilbert cube
autometry
real valued
complex plane
compact space
tetraspace
antispace
Helly dimension
anumerical
Bombieri-Friedlander-Iwaniec theorem
number-theoretic
sphere
metric space
topologically

English words for 'The topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric.'

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