Abstract
Let f:X→Y be a map between simply connected spaces having the homotopy of finite type CW-complexes, where H∗(Y,Q) is finite dimensional and ϕ:(∧V,d)→(B,d) a Sullivan model of f. We consider (B,d) as a module over ∧V via the mapping ϕ. Let map(X,Y;f) denote the component of f in the space of mappings from X to Y. In this paper we show that there is a canonical injection π∗(Ωmap(X,Y;f))⊗Q→HH∗(∧V;B).
Original language | English |
---|---|
Pages (from-to) | 123-129 |
Number of pages | 7 |
Journal | Arab Journal of Mathematical Sciences |
Volume | 25 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2019 |