Re: More algebraic topology

Dear Mike, You are asking for every strongly connected (finite) n-complex to have nonzero $H_n$, which I think you can find -- if your Russian suffices -- in P. S. Alexandrov Combinatorial Topology, OGIZ, 1947 (660 pp.) [MR 10, 55b]. It should be around Chapter 14 or 15. I have never tried to go that far in the book, nor to read the Russian at all. I have long owned, and have used as texts in classes, the English translations which go to Chapter 12 I think; Graylock, Rochester, vol. 1, 1956 [MR 17, 882a] and vol. 2, 1957 [MR 19, 759a]. With any luck you will strike an algebraic topologist who can give you an English reference. Yours, John