My research explores techniques from Category Theory that underlie certain constructions in Topology, and then draws a balanced framework that provide insight and intuition to disparate and specialised problems.
Embedded Files
Journal articles:
Journal articles:
(My ORCID number is 0000-0001-6319-0129.)
A. Razafindrakoto, Separated and prime compactifications, Topology and its Applications 309, (2022) 107911.
A. Razafindrakoto, Neighbourhood operators: additivity, idempotency and convergence, Applied Categorical Structures 27, (2019) 703 - 721.
A. Razafindrakoto, A short note on nearly perfect maps of locales, Quaestiones Mathematicae 40, (2017) no 4, 443 - 450.
A. Razafindrakoto, D. Holgate, A lax approach to neighbourhood operators, Applied Categorical Structures 25, (2017) no 3, 431 - 445.
D. Holgate, M. Iragi, A. Razafindrakoto, Topogenous and nearness structures in categories, Applied Categorical Structures 24, (2016) no 5, 447 - 455.
A. Razafindrakoto, D. Holgate, Interior and neighbourhood, Topology and its Applications 168, (2014) 144 - 152.
A. Razafindrakoto, On coarse and fine neighbourhood operators, Topology and its Applications 159, (2012) 3067 - 3079.
Theses
Theses
Neighbourhood operators on categories, PhD Thesis, University of Stellenbosch, March 2013. (Advisor: David B Holgate)
Hyperconvex spaces, MSc Thesis (Cum laude), University of Stellenbosch, March 2010. (Supervisors: David B Holgate and Hans-Peter Kuenzi.)
Other
Other
I am also interested in the philosophy and history of Mathematics in general. In 2013, I have written a short biography titled What is ...Bourbaki? and which was cited in the essay The Functional Role of Structures in Bourbaki. A recent version of the manuscript can be viewed here.
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