A vector space of Morse functions
type: Item
instance of: scholarly article
title: A vector space of Morse functions
zbMATH Open document ID: 0634.26004
published in: Real Analysis Exchange
publication date: 1988-01-01T00:00:00Z
review text: We prove the existence of a real vector space of dimension c, each of whose nonzero vectors is a continuous nowhere differentiable function F satisfying the following condition: at each point F has both finite left and right derived numbers and infinite left and right derived numbers.
Mathematics Subject Classification ID: 26A27
zbMATH DE Number: 4032001
zbMATH Keywords: Morse functions
zbMATH Keywords: real vector space
zbMATH Keywords: continuous nowhere differentiable function
zbMATH Keywords: derived numbers
author: Frank S. Cater
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4032001