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analytic geometry
proof by contradiction
metric space
metric topology
natural numbers
number theory
path-connectedness
peano arithmetic
peano axioms
peano curve
plane-filling curve
real numbers
mathematical induction
recursive definition
self-similarity
set equivalence
set inclusion
set theory
set-theoretic operations
space-filling curve
topological space
topology
mathematical logic
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axiomatic system
euclidean space
cantor set
cartesian product
cauchy sequence
compact space
compactification
continuous function
continuum hypothesis
dedekind cut
dimension theory
fractal
mathematical analysis
fractal dimension
fractal geometry
function approximation
functional analysis
geometric construction
giuseppe peano
hausdorff dimension
inductive reasoning
infinite curve
iterated function system
uniform continuity

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