000			01718nam a22002177a 4500
003			OSt
005			20260422093319.0
008			260421b |||||||| |||| 00| 0 eng d
020			_a9783319348346
037			_cTextual
040			_aRTL _cRTL
084			_aB316 Q4
100			_aConway, John B. _91235323
245			_a Course in point set topology
260			_aUSA _bSpringer _c2014
300			_axii,142p. : ill. _bIncludes bibliographical references & Index
490			_aUndergraduate texts in Mathematics
520			_aThis textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and at least one semester of analysis, where the student has been properly exposed to the ideas of basic set theory such as subsets, unions, intersections, and functions, as well as convergence and other topological notions in the real line. Appendices are included to bridge the gap between this new material and material found in an analysis course. Metric spaces are one of the more prevalent topological spaces used in other areas and are therefore introduced in the first chapter and emphasized throughout the text. This also conforms to the approach of the book to start with the particular and work toward the more general. Chapter 2 defines and develops abstract topological spaces, with metric spaces as the source of inspiration, and with a focus on Hausdorff spaces. The final chapter concentrates on continuous real-valued functions, culminating in a development of paracompact spaces.
650			_aTopology _9447898
942			_2CC _cTB _n0 _hB316 Q4
999			_c1848361 _d1848361