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학술저널

V-SEMICYCLIC MAPS AND FUNCTION SPACES

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For any map v : X → Y, the generalized Gottlieb set G(ΣA;X, v, Y) with respect to v is a subgroup of [ΣA, Y). If v : X → Y has a left homotopy inverse u : Y → X, then for any f ∈ G(ΣA; X, v, Y), g ∈ GΣEA; Y, u, X), the function spaces L(ΣA, X; g) and L(ΣA, X; g) have the same homotopy type.

ABSTRACT

1. Introduction

2. v-cyclic maps and v-semicyclic pairs

3. Evaluation fibrations of function spaces

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