Recall that f: X→Y is a homotopy epimorphism (monomorphism) if given u, v: Y→W(u, v:W→X), u(?)of(?)v(?)f implies u(?)v(f(?)u(?)f(?)v implies u(?)v). In ref. [1], Lin and Shen
A concept of homotopy regular monomorphism is introduced which is strictly between homotopy monomorphism and homotopy equivalence. And it characterizes homotopy equivalence in some sense.
Recall that f: X→Y is a homotopy epimorphism (monomorphism), if given u, v: Y→W (u, v: W→X), uofvof implies uv (foufov implies uv). In this note, we shall consider the localization of homotopy epimorphisms andmonom...Recall that f: X→Y is a homotopy epimorphism (monomorphism), if given u, v: Y→W (u, v: W→X), uofvof implies uv (foufov implies uv). In this note, we shall consider the localization of homotopy epimorphisms andmonomorphism, 1.e. the following is considered. Problem. If f:X→Y is a homotopy epimorphism (monomorphism), then is any展开更多
文摘Recall that f: X→Y is a homotopy epimorphism (monomorphism) if given u, v: Y→W(u, v:W→X), u(?)of(?)v(?)f implies u(?)v(f(?)u(?)f(?)v implies u(?)v). In ref. [1], Lin and Shen
文摘A concept of homotopy regular monomorphism is introduced which is strictly between homotopy monomorphism and homotopy equivalence. And it characterizes homotopy equivalence in some sense.
基金Project supported by the National Natural Science Foundation of China.
文摘Recall that f: X→Y is a homotopy epimorphism (monomorphism), if given u, v: Y→W (u, v: W→X), uofvof implies uv (foufov implies uv). In this note, we shall consider the localization of homotopy epimorphisms andmonomorphism, 1.e. the following is considered. Problem. If f:X→Y is a homotopy epimorphism (monomorphism), then is any
