000			01938nam a2200301| 4500
001			82416
005			20190906163656.0
010			_a978-1-84628-194-5 _dcompra
090			_a82416
100			_a20190128d2005 k||y0pory50 ba
101			_aeng
102			_aUS
200			_aEssential topology _bDocumento eletrn̤ico _fMartin D. Crossley
210			_aLondon _cSpringer _d2005
215			_aX, 224 p. _cil.
225			_aSpringer Undergraduate Mathematics Series
300			_aColocaȯ̂: Online
303			_aTaking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology. While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples behind current research. With chapters on: * continuity and topological spaces * deconstructionist topology * the Euler number * homotopy groups including the fundamental group * simplicial and singular homology, and * fibre bundles Essential Topology contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well prepared for it.
410			_x1615-2085
606			_94914 _aTopologia
680			_aQA611
700			_aCrossley _bMartin D. _931774
801			_gRPC _aPT
856			_uhttps://doi.org/10.1007/1-84628-194-6
942			_2lcc _cF _n0