Lineability in the sets of Baire and continuous real functions
type: Item
instance of: scholarly article
title: Lineability in the sets of Baire and continuous real functions
zbMATH Open document ID: 1384.26017
author: T. K. Subrahmonian Moothathu
published in: Topology and its Applications
publication date: 2018-02-09T00:00:00Z
review text: Two types of results about the lineability of certain classes of real-valued functions on topological spaces are studied: the first type of results is about Baire/Borel functions and the second type of results is about continuous functions. The lineability means the following: for a cardinal number \(\eta,\) a subset \(A\) of a vector space \(X\) is said to be \(\eta\)-lineable if there exists a vector subspace \(Z \subset X\) of dimension \(\eta\) with \(Z \subset A \cup \{ 0 \}\).
reviewed by: Zoltán Finta
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 26A21
Mathematics Subject Classification ID: 46E10
zbMATH DE Number: 6836772
zbMATH Keywords: lineability
zbMATH Keywords: Baire-two functions
zbMATH Keywords: everywhere surjective function
zbMATH Keywords: continuous real-valued functions
zbMATH Keywords: fixed points
MaRDI profile type: Publication
full work available at URL: j.topol.2017.12.018
OpenAlex ID: W2772935399
cites work: Lineability in sequence and function spaces
cites work: Lineability and spaceability of sets of functions on $\mathbb {R}$
cites work: Lineability
cites work: Nonseparable spaceability and strong algebrability of sets of continuous singular functions
cites work: Linear subsets of nonlinear sets in topological vector spaces
cites work: Sierpiński-Zygmund functions and other problems on lineability
cites work: Q4433734
cites work: Q5577487
cites work: On lineability of sets of continuous functions
cites work: Q4323294
cites work: Q5541833
cites work: Q4506352
cites work: The infinite-dimensional topology of function spaces
DOI: 10.1016/J.TOPOL.2017.12.018
description: scientific article; zbMATH DE number 6836772