A bestiary is a compendium, or concise collection information, pertaining to beasts both natural and mystical. These were often used in the middle ages as encyclopedic-like collections. This page serves as a collection of natural (or mystical depending on your point of view) beasts from wild topology. Some of these spaces may be familiar to non-experts and this shouldn’t be a surprise since wild spaces appear in many different areas of mathematics and wild topology borrows tools from many areas.

I will slowly be adding/updating subpages here.

Blue-Sky Catasrophe

Cantor Fan

Double earring

Dyadic arc space

Edward’s Continuum

Griffiths Twin Cone

Harmonic archipelago

Harmonic mapping torus

Harmonic pants

The earring space (earring, shrinking wedge of circles, clamshell)

Menger Cube

n-dimensional earring (shrinking wedge of n-spheres)

Shrinking wedge of tori

Sierpinski Carpet

Alternating Snake Cone

Topologist’s Sine Surfaces

Warsaw Circle

Wild circle