## Differential Topology Assignment Help

Differential Topology and differential geometry both study the properties of differentiable manifolds but what differentiates differential topology is that it deals with those problems which are inherently global. Topology grew as a discipline after the progress in relating Euclid’s n-dimensional spaces to Gaussian spaces.

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Diffeomorphism | Orientability |

Chern Class | Pontryagin Class |

Spin Structure | Differentiable Function |

Submersion | Immersion |

Differential Forms and Integration of forms | Embedding |

Whitney Embedding Theorem | Sard's Theorem |

DeRhamCohomology | Homotopy and stability |

Saddle Point | Morse Theory |

Derivatives and tangents | Embedding manifolds in Euclidean space |

Lie Derivative | Hairy Ball Theorem |

Poincare–Hopf Theorem | Stokes' Theorem |

De Rhamcohomology | Smale's Paradox |

Frobenius Theorem | Foliation |

Integral Curve | Manifolds in RN |

Transversality | Sard’s theorem and Morse functions |

Smooth maps of manifolds | Submanifolds |