Continuum Theory

$\text{TODO:}$ Add lead for Continuum Theory

Introduction

$\text{TODO:}$ Add an introduction to Continuum Theory

Topics in Continuum Theory

• Absolute end point
• Arc-like
• Branch point
• Chainable continuum
• Composant
• Confluent
• Continuum
• Decomposable
• Epsilon map
• Hausdorff Continuum
• Hereditarily decomposable
• Hereditarily indecomposable
• Hereditarily unicoherent
• Indecomposable
• Inverse limit
• Irreducible continuum
• Kelley continuum
• Knaster continuum
• Menger-Urysohn order
• Nondegenerate
• Peano continuum
• Property S
• Rational
• Rational continua
• Real curve
• Semicircle continuum
• Sierpiński curve
• Smoothness
• Standard universal dendrite
• Subcontinuum
• Suslinean
• Tree-like
• Unicoherent

Examples of continua

Arc
Boxes continuum
Buckethandle
Cantor fan
Cantor organ
Circle with a spiral
Dendrite
Dendrite $P$
Dendroid
Dunce hat
$\lambda$-dendroid
Fan
Gehman dendrite
Graph
Harmonic fan
Harmonic shredded fan
Hawaiian earring
Hairy point
Hilbert cube
Hurewicz continuum
$\infty$-fin
Lelek fan
Lakes of Wada
Locally connected fan
Locally connected comb
M continuum
Makuchowski umbrella
$n$-cell
$n$-sphere
$n$-fin
$n$-od
Omiljanowski dendrite
Peano continuum
Pseudo-arc
Pseudo-circle
Pseudo-solenoid
Semicircle continuum
Sierpiński carpet
Sierpiński triangle
Sin addiction continuum
Snake continuum
Solenoid
Topologist's sine curve
Trapezoid basins continuum
Tree
Triod
Warsaw circle
Waraszkiewicz's spirals
Ważewski universal dendrite
Zig-zag circle

Further Reading

$\text{TODO:}$ Add further reading for Continuum Theory

See Also

$\text{TODO:}$ Add see also for Continuum Theory