Geodesic
An Essential Local Geometric Morphism which is not Locally Connected though its Inverse Image Part is an Exponential Ideal
Theory and applications of categories, Tome 37 (2021), pp. 908-913 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We give examples of essential local geometric morphisms which are not locally connected although their inverse image parts give rise to exponential ideals.

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Classification : 18B25
Keywords: toposes, geometric morphisms, locally connected, hyperconnected, local 
@article{TAC_2021_37_a25,
     author = {Richard Garner and Thomas Streicher},
     title = {An {Essential} {Local} {Geometric} {Morphism}  
       which is not {Locally} {Connected} though 
       its {Inverse} {Image} {Part} is an {Exponential} {Ideal}},
     journal = {Theory and applications of categories},
     pages = {908--913},
     year = {2021},
     volume = {37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a25/}
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       which is not Locally Connected though 
       its Inverse Image Part is an Exponential Ideal
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Richard Garner; Thomas Streicher. An Essential Local Geometric Morphism  
       which is not Locally Connected though 
       its Inverse Image Part is an Exponential Ideal. Theory and applications of categories, Tome 37 (2021), pp. 908-913. http://geodesic.mathdoc.fr/item/TAC_2021_37_a25/