6533b7d0fe1ef96bd125af8e

RESEARCH PRODUCT

On i-topological spaces: generalization of the concept of a topological space via ideals

Irina Zvina

subject

Discrete mathematicsTopological manifoldPure mathematicsConnected spaceCompatible idealTopological algebralcsh:MathematicsGeneralizationlcsh:QA299.6-433lcsh:AnalysisTopological spacelcsh:QA1-939Topological vector spaceT1 spaceTrivial topologyGeometry and TopologyTopological spaceMathematicsZero-dimensional space

description

[EN] The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are defined via ideals. Developing the concept of an i-topological space and studying structures with compatible ideals, we are concerned to clarify the necessary and sufficient conditions for a new space to be homeomorphic, in some certain sense, to a topological space.

yearjournalcountryeditionlanguage
2006-04-01
10.4995/agt.2006.1932http://hdl.handle.net/10251/82954