Displaying similar documents to “Near heaps”

Characterization of E ℱ -subcompactification

Abdolmajid Fattahi, H. R. Ebrahimi Vishki (2006)

Archivum Mathematicum

Similarity:

For extending the notion of E -algebra, as defined in [2], we present an example of an m-admissible algebra which is not an E - algebra. Then we define E -subcompactification and E ℱ -subcompactification to study the universal E -subcompactification and the universal E ℱ -subcompactification from the function algebras point of view.

A β -normal Tychonoff space which is not normal

Eva Murtinová (2002)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

α -normality and β -normality are properties generalizing normality of topological spaces. They consist in separating dense subsets of closed disjoint sets. We construct an example of a Tychonoff β -normal non-normal space and an example of a Hausdorff α -normal non-regular space.

Linear extensions of relations between vector spaces

Árpád Száz (2003)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Let X and Y be vector spaces over the same field K . Following the terminology of Richard Arens [Pacific J. Math. 11 (1961), 9–23], a relation F of X into Y is called linear if λ F ( x ) ⊂ F ( λ x ) and F ( x ) + F ( y ) ⊂ F ( x + y ) for all λ ∈ K ∖ { 0 } and x , y ∈ X . After improving and supplementing some former results on linear relations, we show that a relation Φ of a linearly independent subset E of X into Y can be extended to a linear relation F of X into Y if and only if there exists a linear subspace Z of Y such that Φ ( e ) ∈ Y | Z for all e ∈ E . Moreover, if...