| 000 | 02610nam a22004335i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-02368-7 | ||
| 003 | DE-He213 | ||
| 005 | 20140220082511.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131104s2014 gw | s |||| 0|eng d | ||
| 020 |
_a9783319023687 _9978-3-319-02368-7 |
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| 024 | 7 |
_a10.1007/978-3-319-02368-7 _2doi |
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| 050 | 4 | _aQA611-614.97 | |
| 072 | 7 |
_aPBP _2bicssc |
|
| 072 | 7 |
_aMAT038000 _2bisacsh |
|
| 082 | 0 | 4 |
_a514 _223 |
| 100 | 1 |
_aConway, John B. _eauthor. |
|
| 245 | 1 | 2 |
_aA Course in Point Set Topology _h[electronic resource] / _cby John B. Conway. |
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
|
| 300 |
_aXII, 142 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
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| 505 | 0 | _aMetric Spaces -- Topological Spaces -- Continuous Real-Valued Functions -- Appendix -- Bibliography -- Terms -- Symbols. | |
| 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 | 0 | _aMathematics. | |
| 650 | 0 | _aTopology. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aTopology. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319023670 |
| 830 | 0 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-02368-7 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c92851 _d92851 |
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