Purchase Solution

General and Differential Topology

Not what you're looking for?

Ask Custom Question

This is one of the basic courses for students beginning study towards the Ph.D. degree in mathematics.

Content: Topological and metric spaces, continuity, subspaces, products and quotient topology, compactness and connectedness, extension theorems, topological groups, topological and differentiable manifolds, tangent spaces, vector fields, submanifolds, inverse function theorem, immersions, submersions, partitions of unity, Sard's theorem, embedding theorems, transversality, classification of surfaces.

Attachments
Purchase this Solution

Solution Preview

(a) If A is a basis of topology T on X, than

(1) The intersection of all topologies that contain A cannot be larger than T because T is included in the "all".
(2) It cannot be smaller ...

Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.