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The Josefson-Nissenzweig theorem and filters on ω. [PDF]
Arch Math LogMarciszewski W, Sobota D.
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Nonautonomous Young Differential Equations Revisited. [PDF]
J Dyn Differ Equ, 2018 Cong ND, Duc LH, Hong PT.
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Quandle coloring and cocycle invariants of composite knots and abelian extensions. [PDF]
J Knot Theory Ramif, 2016 Clark WE, Saito M, Vendramin L.
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A BIJECTION OF INVARIANT MEANS ON AN AMENABLE GROUP WITH THOSE ON A LATTICE SUBGROUP
Bulletin of the Australian Mathematical Society, 2021Suppose G is an amenable locally compact group with lattice subgroup $\Gamma $ . Grosvenor [‘A relation between invariant means on Lie groups and invariant means on their discrete subgroups’, Trans. Amer. Math. Soc.
John Hopfensperger
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Fundamental theorems from group theory
Other Conferences, 2022Modern algebra is importance for advanced math. It includes group theory, ring theory, and field theory. For the first course of Modern algebra, group theory, is not easy to think. Furthermore, group theorem is also a study of algebraic structure.
Jianhong Chen
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The American mathematical monthly, 2019
When is a function from an abelian group to itself expressible as a difference of two bijections? Answering this question for finite cyclic groups solves a problem about juggling. A theorem of Marshall Hall settles the question for finite abelian groups,
D. Ullman, Daniel J. Velleman
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When is a function from an abelian group to itself expressible as a difference of two bijections? Answering this question for finite cyclic groups solves a problem about juggling. A theorem of Marshall Hall settles the question for finite abelian groups,
D. Ullman, Daniel J. Velleman
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An Introduction to Mathematical Reasoning: Numbers, Sets and Functions
, 1998Part I. Mathematical Statements and Proofs: 1. The language of mathematics 2. Implications 3. Proofs 4. Proof by contradiction 5. The induction principle Part II. Sets and Functions: 6. The language of set theory 7. Quantifiers 8. Functions 9. Injections,
P. Eccles
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Elements of logic via numbers and sets
, 19981. Numbers.- 1.1 Arithmetic Progressions.- 1.2 Proof by Contradiction.- 1.3 Proof by Contraposition.- 1.4 Proof by Induction.- 1.5 Inductive Definition.- 1.6 The Well-ordering Principle.- 2.
D. L. Johnson
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