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    Representation Theorem for Stacks

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    In the paper the concept of stacks is formalized. As the main result the Theorem of Representation for Stacks is given. Formalization is done according to [13].BiaƂystok Technical University, PolandGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.Grzegorz Bancerek. Filters - part II. Quotient lattices modulo filters and direct product of two lattices. Formalized Mathematics, 2(3):433-438, 1991.Grzegorz Bancerek. Reduction relations. Formalized Mathematics, 5(4):469-478, 1996.Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.Grzegorz Bancerek and Andrzej Trybulec. Miscellaneous facts about functions. Formalized Mathematics, 5(4):485-492, 1996.CzesƂaw ByliƄski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.CzesƂaw ByliƄski. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.CzesƂaw ByliƄski. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.CzesƂaw ByliƄski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.CzesƂaw ByliƄski. The modification of a function by a function and the iteration of the composition of a function. Formalized Mathematics, 1(3):521-527, 1990.CzesƂaw ByliƄski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.CzesƂaw ByliƄski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.GraĆŒyna Mirkowska and Andrzej Salwicki. Algorithmic Logic. PWN-Polish Scientific Publisher, 1987.Konrad Raczkowski and PaweƂ Sadowski. Equivalence relations and classes of abstraction. Formalized Mathematics, 1(3):441-444, 1990.Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences. Formalized Mathematics, 1(3):569-573, 1990.Wojciech A. Trybulec. Partially ordered sets. Formalized Mathematics, 1(2):313-319, 1990.Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.Edmund Woronowicz and Anna Zalewska. Properties of binary relations. Formalized Mathematics, 1(1):85-89, 1990

    Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients

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    Using the language of stacks, we recast and generalize a selection of results in equivariant geometry
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