# 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} }

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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