%0 Journal Article %A Burghelea, Dan %T A refinement of Betti numbers and homology in the presence of a continuous function, I %J Algebraic and Geometric Topology %D 2017 %P 2051-2080 %V 17 %N 4 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2017.17.2051/ %R 10.2140/agt.2017.17.2051 %F 10_2140_agt_2017_17_2051