The Last Epic of Antiquity: Generic Continuity and Innovation in the Vita Sancti Martini of Venantius Fortunatus

2001 ◽  
Vol 131 (1) ◽  
pp. 257-285 ◽  
Author(s):  
Michael John Roberts
Keyword(s):  
Generic Continuity

Some results concerning the generic continuity of set-valued mappings

2012 ◽  
Vol 75 (8) ◽  
pp. 3591-3597 ◽  
Author(s):  
Shuwen Xiang ◽  
Wensheng Jia ◽  
Jihao He ◽  
Shunyou Xia ◽  
Zhiyou Chen
Keyword(s):  
Set Valued Mappings ◽  
Generic Continuity

scholarly journals Generic continuity of minimal set-valued mappings

1997 ◽  
Vol 63 (2) ◽  
pp. 238-262 ◽  
Author(s):  
W. B. Moors ◽  
J. R. Giles
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Metric Space ◽  
Complete Metric Space ◽  
Minimal Set ◽  
Set Valued Mapping ◽  
Set Valued Mappings ◽  
Permanence Properties ◽  
Generic Continuity ◽  
Sufficiency Conditions

AbstractWe study classes of Banach spaces where every set-valued mapping from a complete metric space into subsets of the Banach space which satisfies certain minimal properties, is single-valued and norm upper semi-continuous at the points of a dense Gδ subset of its domain. Characterisations of these classes are developed and permanence properties are established. Sufficiency conditions for membership of these classes are defined in terms of fragmentability and σ-fragmentability of the weak topology. A characterisation of non membership is used to show that l∞ (N) is not a member of our classe of generic continuity spaces.

On generic continuity of maps to posets with metrics

2021 ◽  
pp. 107969
Author(s):  
Zhongqiang Yang ◽  
Dongchao Li ◽  
Xiaoquan Xu ◽  
Zhiming Li
Keyword(s):  
Generic Continuity
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