# Reference for Algebraic topology books

Im beginner in algebraic topology.I have read the general topology book by Munkres and topology without tears by Morris

I have seen the Allen Hatcher book .It is very tough book ,so i need some easier book

I need references for very basic books in Algebraic topology and that book must contain given topics below

$$1.$$Homotopy Theory. Covering spaces, homotopy maps, homotopy equivalence,Contractible spaces, deformation retraction.

$$2.$$Fundamental Groups: Universal cover and lifting problem for covering maps, Fundamental groups of S1 and Sn.

$$3$$ .Introduction to Homology Theory.

• Try "A First Course in Algebraic Topology" by Czes Kosniowski. Lots of figures but writes proofs better than Hatcher, overall very friendly. Dec 26 '20 at 21:14
• Assuming you know point-set topology (basic definitions of topologies, open/closed sets, continuity, product/quotient/subset/disjoint union topologies) I would still recommend Hatcher. You might start with parts of the appendices for background material. Dec 26 '20 at 21:18
• @IvoTerek good book ,i will try this book for $1/3$ week...after that i will give my feeback about this book on this comment Dec 26 '20 at 21:40
• try "topology of surfaces" for a very introduction before diving into a more classic book Dec 26 '20 at 22:46
• @IvoTerek I really enjoy this book wonderful books more better explaination than Allen hatcher book... Mar 6 at 20:07