Aniruddha Deshmukh
I have completed MSc in Mathematics and I look forward to doing a PhD and research in Pure Mathematics. My research interests include (but are not limited to) Fixed Point Theory, Topology, Analysis, Differential Geometry.
Areas of Research / Professional Expertise
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Metric Topology, General Topology, Fixed Point Theory, Analysis, Differential Geometry
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A note on Vector Space Axioms
Published: Nov 06, 2020 by Resonance-The Journal of Science Education
Authors: Aniruddha Deshmukh
Subjects:
Mathematics
In this article, we have given the importance of the axioms of a vector space and have commented upon why these should not be taken for granted. A typical undergraduate student often thinks that only checking a few axioms would imply that the given space also satisfies other axioms. We particularly emphasise on one of those axioms, and give the reader proper reasoning as to what would happen if we take this for granted.