| 《拓扑学教程:理论及应用》是由高等教育出版社出版的。 |
| Dr. Min Yan is a Professor at the Department of Mathematics of The Hong Kong University of Science and Technology. He has published numerous research papers in diverse areas of mathematics, including topology, combinatorics, Hopf algebra and integrable systems. |
| 1 set and map 1.1 set 1.2 map 1.3 counting 1.4 equivalence relation and quotient 2.metric space 2.1 metric 2.2 ball 2.3 open subset 2.4 continuity 2.5 limit point 2.6 closed subset 3.graph and network 3.1 seven bridges in ksnigsberg 3.2 proof of one-trip criterion 3.3 euler formula 3.4 application of euler formula 4 topology 4.1 topological basis and subbasis 4.2 open subset 4.3 topological space 4.4 comparing topologies 4.5 limit point and closed subset 4.6 closure 5 basic topological concepts 5.1 continuity 5.2 homeomorphism 5.3 subspace 5.4 product 5.5 quotient 6. complex 6.1 simplicial complex 6.2 cw-complex 6.3 projective space 6.4 euler number 7 topological properties 7.1 hausdorff space 7.2 connected space 7.3 path connected space 7.4 connected component 7.5 compact space 7.6 limit point compact space 8 surface 8.1 manifold 8.2 surface 8.3 simplicial surface 8.4 planar diagram 8.5 cut and paste 8.6 classification of surface 8.7 recognition of surface 9 topics in point set topology 9.1 normal space 9.2 paracompact space 9.3 complete metric space 9.4 baire category theorem 9.5 infinite product 9.6 space-filling curve 9.7 space of maps index |
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