PASEKA, Jan, Sergejs SOLOVJOVS a Milan STEHLIK. On the category of lattice-valued bornological vector spaces. Journal of Mathematical Analysis and Applications. the Netherlands: Elsevier, 2014, roč. 419, č. 1, s. 138-155. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2014.04.033. |
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@article{1185659, author = {Paseka, Jan and Solovjovs, Sergejs and Stehlik, Milan}, article_location = {the Netherlands}, article_number = {1}, doi = {http://dx.doi.org/10.1016/j.jmaa.2014.04.033}, keywords = {Cartesian closed category; Continuous lattice; Hausdorff dimension; L-bornological space; L-bornological system; Topologically algebraic category; Vector space}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {On the category of lattice-valued bornological vector spaces}, volume = {419}, year = {2014} }
TY - JOUR ID - 1185659 AU - Paseka, Jan - Solovjovs, Sergejs - Stehlik, Milan PY - 2014 TI - On the category of lattice-valued bornological vector spaces JF - Journal of Mathematical Analysis and Applications VL - 419 IS - 1 SP - 138-155 EP - 138-155 PB - Elsevier SN - 0022247X KW - Cartesian closed category KW - Continuous lattice KW - Hausdorff dimension KW - L-bornological space KW - L-bornological system KW - Topologically algebraic category KW - Vector space N2 - Motivated by the theory of L-bornological spaces of M. Abel and A. Sostak over a complete lattice L, and the concept of topological system of S. Vickers, this paper introduces the categories of L-bornological vector spaces and systems, and shows that the former is isomorphic to a full reflective subcategory of the latter. ER -
PASEKA, Jan, Sergejs SOLOVJOVS a Milan STEHLIK. On the category of lattice-valued bornological vector spaces. \textit{Journal of Mathematical Analysis and Applications}. the Netherlands: Elsevier, 2014, roč.~419, č.~1, s.~138-155. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2014.04.033.
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