On some spaces which are covered by a product space

Group theoretic conditions under which closed aspherical manifolds are covered by Euclidean space

Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we will prove variations of this theorem in all dimensions by presenting conditions on finitely presented groups that guarante...

Some Results on 2-inner Product Spaces

We onsider ”Riesz Theorem” in the 2-inner product spaces and give some results in this field. Also, we give some characterizations about 2-inner product spaces in b-approximation theory. AMS Mathematics Subject Classification (2000): 41A65, 41A15

SOME EXAMPLES OF SPHERE BUNDLES OVER SPHERES WHICH ARE LOOP SPACES mod/? BY JOHN EWING

In this note we give sufficient conditions that certain sphere bundles over spheres, denoted Bn(p), are of the homotopy type of loop spaces mod/? for p an odd prime. The method is to construct a classifying space for the /?-profinite completion of Bn(p) by collapsing an Eilenberg-Mac Lane space by the action of a certain finite group. We say that a space X has some property mod/? if the localiz...

On Reverses of Some Inequalities in n-Inner Product Spaces

In 1964, Gähler 1 introduced the concept of 2-norm and 2-inner product spaces as generalization of norm and inner product spaces. A systematic presentation of the results related to the theory of 2-inner product spaces can be found in the book in 2, 3 and in list of references in it. Generalization of 2-inner product space for n ≥ 2 was developed by Misiak 4 in 1989. Gunawan and Mashadi 5 in 20...

Partial Inner Product Spaces: Some Categorical Aspects