Differential topology book

reference-request self-learning differential-topology

I want to self-study differential topology. I'd like to hear suggestions from you about appropriate books that I could use while studying.

Note: I have not studied differential topology before. I self-studied general topology and some algebraic topology before.

Thank you


A standard introductory textbook is Differential Topology by Guillemin and Pollack. It was used in my introductory class and I can vouch for its solidity. You might also check out Milnor's Topology from the Differentiable Viewpoint and Morse Theory. (I have not read the first, and I have lightly read the second.)

For other books on topology, Hatcher has a nice list here. You may be interested in books like Bott-Tu or others listed under item III, manifold theory.

Related

A category where maps are factorizations - what is this called?
Sums of rising factorial powers [duplicate]
The projective model structure on chain complexes
Main Theorems/Techniques for proving Homeomorphism?
(non?)-surjectivity of the exponential map to $SL(2,\mathbb{C})$
Markov chains: is "aperiodic + irreducible" equivalent to "regular"?
What pure mathematics foundations should an applied mathematician have?
Projective closure of an algebraic curve as a compactification of Riemann surface
Finite groups of which the centralizer of each element is normal.
Differentiation of a function $f:\mathbb{Q}\to \mathbb{Q}$(Rational Calculus)
Can we qualitatively predict the strategy of the German and US teams in today's World Cup soccer match?
Question about a basis for a topology vs the topology generated by a basis?