Paper Info
Title
On p-adic semi-algebraic continuous selections.
Abstract
Let E subset of Qpn and T be a set-valued map from E to Qpm. We prove that if T is p-adic semi-algebraic, lower semi-continuous and T(x) is closed for every x is an element of E, then T has a p-adic semi-algebraic continuous selection. In addition, we include three applications of this result. The first one is related to Fefferman's and Kollar's question on existence of p-adic semi-algebraic continuous solution of linear equations with polynomial coefficients. The second one is about the existence of p-adic semi-algebraic continuous extensions of continuous functions. The other application is on the characterization of right invertible p-adic semi-algebraic continuous functions under the composition.
Year
DOI
Venue
2020
10.1002/malq.201900024
MATHEMATICAL LOGIC QUARTERLY
DocType
Volume
Issue
Journal
66
1
ISSN
Citations 
PageRank 
0942-5616
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Athipat Thamrongthanyalak100.34