nLab
examples in topology

Basic examples

Many classes come from standard constructions from other spaces or maps like

or from data which includes some parameters or algebraic data as input like

and as representing object of some functor, or (more or less the same), as moduli spaces of some structures

There are also classes of spaces which are often presented by standard recipes. For examples, manifolds may be presented by manifold atlases

Locally badly behaved spaces include

For a compilation of examples important in algebraic topology see

Many examples are mentioned, or searched for, in the compendium of open problems

  • J. van Mill, George M. Reed (editors), Open problems in topology, North Holland 1990, pdf
Created on May 15, 2012 19:47:27 by Zoran Škoda (193.51.104.33)