6533b851fe1ef96bd12aa269
RESEARCH PRODUCT
On linear extension operators from growths of compactifications of products
Jose L. Blascosubject
Discrete mathematicsPseudocompact spacePseudocompact spaceCrystallographyOperator (computer programming)Linear extensionProduct (mathematics)RetractStone-Čech compactificationStone–Čech compactificationLinear extension operatorProduct topologyGeometry and TopologyProduct spaceMathematicsdescription
Abstract We obtain some results on product spaces. Among them we prove that for noncompact spaces X 1 and X 2 , the norm of every linear extension operator from C ( β ( X 1 × X 2 ) β ( X 1 × X 2 )) into C ( β ( X 1 × X 2 )) is greater or equal than 2, and also that β ( X 1 × X 2 ) β ( X 1 × X 2 ) is not a neighborhood retract of β ( X 1 × X 2 ).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-07-01 | Topology and its Applications |