By Martin D. Crossley
Taking an immediate path, crucial Topology brings crucial elements of contemporary topology close by of a second-year undergraduate pupil. in response to classes given on the college of Wales Swansea, it starts off with a dialogue of continuity and, in terms of many examples, results in the distinguished "Hairy Ball theorem" and directly to homotopy and homology: the cornerstones of up to date algebraic topology.
While containing all of the key result of easy topology, crucial Topology by no means permits itself to get mired in info. as an alternative, the point of interest all through is on delivering attention-grabbing examples that make clear the guidelines and encourage the coed, reflecting the truth that those are usually the foremost examples at the back of present research.
With chapters on:
* continuity and topological spaces
* deconstructionist topology
* the Euler number
* homotopy teams together with the basic group
* simplicial and singular homology, and
* fibre bundles
Essential Topology comprises adequate fabric for 2 semester-long classes, and provides a one-stop-shop for undergraduate-level topology, leaving scholars prompted for postgraduate examine within the box, and prepared for it.