Lineability in the sets of Baire and continuous real functions

dc.contributor.author	Moothathu, T. K.Subrahmonian
dc.date.accessioned	2022-03-27T04:08:57Z
dc.date.available	2022-03-27T04:08:57Z
dc.date.issued	2018-02-15
dc.description.abstract	Discovering large algebraic structures within various sets of exotic real-valued (or complex-valued) functions or sequences is a very active research program now. For a cardinal number η a subset A of a vector space X is said to be η-lineable if there is a vector subspace Z⊂X of dimension η with Z⊂A∪{0}. In this article, we investigate lineability properties in certain vector spaces of Baire-two functions and continuous real-valued functions.
dc.identifier.citation	Topology and its Applications. v.235
dc.identifier.issn	01668641
dc.identifier.uri	10.1016/j.topol.2017.12.018
dc.identifier.uri	https://www.sciencedirect.com/science/article/abs/pii/S0166864117306570
dc.identifier.uri	https://dspace.uohyd.ac.in/handle/1/6557
dc.subject	Baire-two functions
dc.subject	Continuous real-valued functions
dc.subject	Everywhere surjective function
dc.subject	Fixed points
dc.subject	Lineability
dc.title	Lineability in the sets of Baire and continuous real functions
dc.type	Journal. Article
dspace.entity.type

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