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· 제목 : Topology As Fluid Geometry (Hardcover) (Two-dimensional Spaces)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470437152
· 쪽수 : 165쪽
· 출판일 : 2017-12-30
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470437152
· 쪽수 : 165쪽
· 출판일 : 2017-12-30
목차
- The fundamental theorem of algebra
- The Brouwer fixed point theorem
- Tools
- Lebesgue covering dimension
- Fat curves and Peano curves
- The arc, the simple closed curve, and the Cantor set
- Algebraic topology
- Characterization of the 2-sphere
- 2-manifolds
- Arcs in $\mathbb{S}^2$ are tame
- R. L. Moore's decomposition theorem
- The open mapping theorem
- Triangulation of 2-manifolds
- Structure and classification of 2-manifolds
- The torus
- Orientation and Euler characteristic
- The Riemann-Hurwitz theorem
- Bibliography
