Titlebook: Rational Homotopy Theory; Yves Félix,Stephen Halperin,Jean-Claude Thomas Textbook 2001 Springer Science+Business Media New York 2001 Algeb

absolve

哎呦

Enteropathic

Relative Sullivan algebrasic morphism k → (., .), 1→ 1. In this section we introduce relative Sullivan algebras (. ⊗ Λ.,.) and use them to model general morphisms (...) → (.,.) of commutative cochain algebras. We shall then prove existence and uniqueness theorems in this setting. This will, in particular, eliminate the hypothesis .. = 0 that was frequently supposed in §12.

倒转

Generalize

pineal-gland

Fibrations and topological monoidsA continuous map .: . → . has the . with respect to a pair of topological spaces (., .) if for every commutative diagram of the form there exists a continuous map . : . → . such that . = . and . = ..

沙发

白杨

厌食症

(R, d)-modules and semifree resolutionsAs usual, we work over an arbitrary commutative ground ring, k. Thus graded module means graded k-module, linear means k-linear, and Hom(—, —) and — ⊗ — stand for Hom.(—, —) and — ⊗ .— .

胆大

Semifree chain models of a ,—fibrationAs usual, we work over an arbitrary commutative ground ring. k. For simplicity, we denote ..(—; k) simply by ..(—) and ..(—;k) simply by ..(—).