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@article{1311738, author = {Solovjovs, Sergejs}, article_location = {BASEL}, article_number = {3-4}, keywords = {affine set; frame; monad; monoidal topology; premetric space; preordered set; quantale; quantale module; Sierpinski object; topological category}, language = {eng}, issn = {0002-5240}, journal = {Algebra Universalis}, title = {Characterization of a category for monoidal topology}, volume = {74}, year = {2015} }
TY - JOUR ID - 1311738 AU - Solovjovs, Sergejs PY - 2015 TI - Characterization of a category for monoidal topology JF - Algebra Universalis VL - 74 IS - 3-4 SP - 389-410 EP - 389-410 PB - SPRINGER BASEL AG SN - 00025240 KW - affine set KW - frame KW - monad KW - monoidal topology KW - premetric space KW - preordered set KW - quantale KW - quantale module KW - Sierpinski object KW - topological category N2 - This paper characterizes one of the categories for monoidal topology of M. M. Clementino, D. Hofmann, G. J. Seal, and W. Tholen in terms of the Sierpinski object of E. G. Manes. In particular, we describe the categories of preordered sets and premetric spaces (in the sense of F. W. Lawvere) in terms of modules over a quantale. ER -
SOLOVJOVS, Sergejs. Characterization of a category for monoidal topology. \textit{Algebra Universalis}. BASEL: SPRINGER BASEL AG, 2015, roč.~74, 3-4, s.~389-410. ISSN~0002-5240.
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