학술저널
PRINCIPAL FIBRATIONS AND GENERALIZED H-SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 1
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2016.02177 - 186 (10 pages)
- 2
For a map f : A → X, there are concepts of H f -spaces, T f -spaces, which are generalized ones of H-spaces [17,18]. In general, Any H-space is an H f -space, any H f -space is a T f -space. For a principal fibration E k → X induced by k : X → X ′ from ϵ : P X ′ → X ′ , we obtain some sufficient conditions to having liftings H ¯ f -structures and T ¯ f -structures on E k of H f -structures and T f -structures on X respectively. We can also obtain some results about H f -spaces and T f -spaces in Postnikov systems for spaces, which are generalizations of Kahn’s result about H-spaces.
1. Introduction
2. Gottlieb sets for maps and generalized H-spaces
3. Principal fibrations and generalized H-spaces
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