Abstract
Let f:X→Y be a map between simply connected spaces and f¯:L(V)→L(W) its Quillen model. If the differential on L(V) has only linear and quadratic parts, we show that there is a Lie algebra structure on HomTV(TV⊗(Q⊕sV),L(W)), making of it a Lie model of the function space map(X,Y;f).
Original language | English |
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Pages (from-to) | 153-158 |
Number of pages | 6 |
Journal | Topology and its Applications |
Volume | 168 |
DOIs | |
Publication status | Published - 2014 |