Proper base change for separated locally proper maps
Schnürer, Olaf1 ; Soergel, Wolfgang2
1 Universität Bonn, BONN, GERMANY
2 Universität Freiburg, FREIBURG, GERMANY
Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 223-250.

We introduce and study the notion of a locally proper map between topological spaces.We show that fundamental constructions of sheaf theory, more precisely proper base change, projection formula, and Verdier duality, can be extended from continuous maps between locally compact Hausdor spaces to separated locally proper maps between arbitrary topological spaces.

DOI : 10.4171/RSMUP/135-13
Classification : 14, 54
Mots-clés : Locally proper map, proper direct image, proper base change, Verdier duality, six operations
Schnürer, Olaf 1 ; Soergel, Wolfgang 2

1 Universität Bonn, BONN, GERMANY
2 Universität Freiburg, FREIBURG, GERMANY 
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     author = {Schn\"urer, Olaf and Soergel, Wolfgang},
     title = {Proper base change for separated locally proper maps},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {223--250},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {135},
     year = {2016},
     doi = {10.4171/RSMUP/135-13},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/135-13/}
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Schnürer, Olaf; Soergel, Wolfgang. Proper base change for separated locally proper maps. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 223-250. doi : 10.4171/RSMUP/135-13. http://www.numdam.org/articles/10.4171/RSMUP/135-13/

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