Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Ando Razafindrakoto"'
Autor:
Ando Razafindrakoto
Publikováno v:
Applied Categorical Structures. 27:703-721
We define and discuss the notions of additivity and idempotency for neighbourhood and interior operators. We then propose an order-theoretic description of the notion of convergence that was introduced by D. Holgate and J. Slapal with the help of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c7ff55da8a98ec13d896623c5e5d01e
https://doi.org/10.1007/s10485-019-09581-x
https://doi.org/10.1007/s10485-019-09581-x
Autor:
Ando Razafindrakoto
Publikováno v:
Topology and its Applications. 309:107911
We discuss conditions under which certain compactifications of topological spaces can be obtained by composing the ultrafilter space monad with suitable reflectors. In particular, we show that these compactifications inherit their categorical propert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::beff1135b79a72f25833ad88fcf9a6e4
https://doi.org/10.1016/j.topol.2021.107911
https://doi.org/10.1016/j.topol.2021.107911
Autor:
Ando Razafindrakoto
Publikováno v:
Quaestiones Mathematicae; Vol 40, No 4 (2017); 443-450
We characterise compact locales in terms of nearly perfect maps. We show in particular that these maps are the natural pointfree version of Bourbaki's proper maps - when defined via any ultrafillter - and that they extend Herrlich's notion of nearly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5002ed1f07d13b48c1a43e55c101f5d3
https://doi.org/10.2989/16073606.2017.1296904
https://doi.org/10.2989/16073606.2017.1296904
Publikováno v:
Applied Categorical Structures. 24:447-455
We introduce topogenous orders on a general category and demonstrate that they are equivalent to neighbourhood operators and subsume both closure and interior operators. By looking at the basic properties of so-called strict morphisms relative to a t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a6fc6a72f713acaa0406d6c525ee885
https://doi.org/10.1007/s10485-016-9455-x
https://doi.org/10.1007/s10485-016-9455-x
Autor:
Ando Razafindrakoto, David Holgate
Publikováno v:
Applied Categorical Structures. 25:431-445
Viewing neighbourhood operators as lax natural transformations introduces an efficiency in calculations and proofs and suggests further applications. To highlight the advantages of this approach, classes of open, closed, initial and final morphisms a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11b69c3cf07a929cf554a49bdea045eb
https://doi.org/10.1007/s10485-016-9441-3
https://doi.org/10.1007/s10485-016-9441-3
Autor:
David Holgate, Ando Razafindrakoto
Publikováno v:
Topology and its Applications. 168:144-152
The notion of interior operator is intimately related to that of neighbourhood operator. This relationship is presented here in the form of an adjunction or Galois connection, in the sense that on an object (a space) X , the neighbourhood operator ν
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18291467aae29ef1be89b3c91d617633
https://doi.org/10.1016/j.topol.2014.02.019
https://doi.org/10.1016/j.topol.2014.02.019