Tag Archives: open cover

The Cech Expansion: nerves of open covers

The Whitehead theorem in homotopy theory basically says that to fully understand the homotopy type of a CW-complex one only needs to know about the homotopy groups (really, the weak homotopy type). It is very easy to produce spaces to … Continue reading

Posted in Cech expansion, Shape theory, Simplicial complexes | Tagged , , , , , | 4 Comments