Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

hello, I need a book where i can find the proof for the classification of 1-dimensional topological manifolds. (i already have Milnor's for the classification of 1-dimensional smooth manifolds) thank you

share|improve this question
1  
What you need is the existence of a unique smooth structure (if it exists) on a 1-dim topological manifold. –  David Roberts Jan 9 '11 at 8:30
add comment

2 Answers

up vote 3 down vote accepted

If I remember well, Introduction to topological manifolds (Lee) proves the classification theorem for 1-dim manifolds.

share|improve this answer
add comment

Fuks, D. B.; Rokhlin, V. A. Beginner's course in topology. Geometric chapters. Springer Series in Soviet Mathematics. Springer-Verlag, Berlin-New York, 1984.

For dim 1 and dim 2 manifolds.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.