# Continuous and Smooth Envelopes of Topological Algebras. Part 1

@article{Akbarov2017ContinuousAS,
title={Continuous and Smooth Envelopes of Topological Algebras. Part 1},
author={S. Akbarov},
journal={Journal of Mathematical Sciences},
year={2017},
volume={227},
pages={531-668}
}
• S. Akbarov
• Published 2017
• Mathematics
• Journal of Mathematical Sciences
Since the first optical instruments were invented, an idea that the visible image of an object under observation depends on tools of observation became commonly assumed in physics. A way of formalizing this idea in mathematics is the construction that assigns to an arbitrary object A in a category K its envelope EnvΦΩA$${\mathrm{Env}}_{\Phi}^{\Omega}A$$ in a given class of morphisms (a class of representations) Ω with respect to a given class of morphisms (a class of observation tools) Φ. It… Expand
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