All Stories

  1. Additive Structure of Sparse-Digit Fractal Sets: Sumsets, Difference Sets, and Dimension Jumps
  2. Chains of Dense Gδ Sets in Perfect Polish Spaces
  3. Complex Numbers as Powers of Transcendental Numbers
  4. Each ζ(n), 5 ≤ n ≤ 25, Is Not a Liouville Number
  5. Number theoretic subsets of the real line of full or null measure
  6. Bohr compactification of separable locally convex spaces
  7. Chains of Cantor subspaces of Mahler $ T $-Numbers and the middle-third Cantor set
  8. Topology Meets Number Theory
  9. Open mappings of locally compact groups
  10. Calculating Chance: Card and Casino Games
  11. The Structure of Pro-Lie Groups
  12. The Structure of Compact Groups
  13. ERDŐS PROPERTIES OF SUBSETS OF THE MAHLER SETS
  14. SIN, COS, EXP AND LOG OF LIOUVILLE NUMBERS
  15. ERDŐS–LIOUVILLE SETS
  16. A CONTINUOUS HOMOMORPHISM OF A THIN SET ONTO A FAT SET
  17. Topological Transcendental Fields
  18. Tweaking Ramanujan’s Approximation of n!
  19. Abstract Algebra and Famous Impossibilities
  20. Algebraic Numbers and Their Polynomials
  21. Algebraic Preliminaries
  22. An Algebraic Postscript
  23. Extending Fields
  24. Irreducible Polynomials
  25. Other Impossibilities: Regular Polygons and Integration in Finite Terms
  26. Proofs of the Geometric Impossibilities
  27. Quintic Equations I: Symmetric Polynomials
  28. Quintic Equations II: The Abel–Ruffini Theorem
  29. Straightedge and Compass Constructions
  30. Transcendence of e and $$\pi $$
  31. Zeros of Polynomials of Degrees 2, 3, and 4
  32. Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
  33. Hilbert 13: Are there any genuine continuous multivariate real-valued functions?
  34. Preface to the First Edition
  35. Preface to the Fourth Edition
  36. Preface to the Second and Third Editions
  37. The Structure of Compact Groups
  38. The Tubby Torus as a Quotient Group
  39. Observations on the Separable Quotient Problem for Banach Spaces
  40. The separable quotient problem for topological groups
  41. EMBEDDINGS OF FREE TOPOLOGICAL VECTOR SPACES
  42. A REMARK ON THE SEPARABLE QUOTIENT PROBLEM FOR TOPOLOGICAL GROUPS
  43. A topological group observation on the Banach–Mazur separable quotient problem
  44. The Variety of Topological Groups Generated by the Class of All Banach Spaces
  45. EMBEDDING OF THE FREE ABELIAN TOPOLOGICAL GROUP INTO
  46. Separability of Topological Groups: A Survey with Open Problems
  47. Free Subspaces of Free Locally Convex Spaces
  48. Embedding into free topological vector spaces on compact metrizable spaces
  49. SUBSPACES OF THE FREE TOPOLOGICAL VECTOR SPACE ON THE UNIT INTERVAL
  50. Free topological vector spaces
  51. Density character of subgroups of topological groups
  52. ON VARIETIES OF ABELIAN TOPOLOGICAL GROUPS WITH COPRODUCTS
  53. Erratum to: Nonseparable closed vector subspaces of separable topological vector spaces
  54. An Overview of Topological Groups: Yesterday, Today, Tomorrow
  55. Nonseparable closed vector subspaces of separable topological vector spaces
  56. AN OPEN MAPPING THEOREM
  57. Compact Groups
  58. Varieties of abelian topological groups with coproducts
  59. Pro-Lie Groups: A Survey with Open Problems
  60. Compact homeomorphism groups are profinite
  61. The weights of closed subgroups of a locally compact group
  62. Local splitting of locally compact groups and pro-Lie groups
  63. Modified Neural Network Algorithms for Predicting Trading Signals of Stock Market Indices
  64. VARIETIES OF ABELIAN TOPOLOGICAL GROUPS AND SCATTERED SPACES
  65. Identifying and distinguishing various varieties of abelian topological groups
  66. Predicting Trading Signals of Stock Market Indices Using Neural Networks
  67. Iwasawa's Local Splitting Theorem for Pro-Lie Groups
  68. An Open Mapping Theorem For Pro-Lie Groups
  69. The Lie Theory of Connected Pro-Lie Groups
  70. Quantification of intermarket influence on the Australian All Ordinary Index based on optimization techniques
  71. Zeitschriftenherausgeber in Mathematik und Informationstechnologie und ihre Szene
  72. Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem
  73. The structure of abelian pro-Lie groups
  74. The exponential function of locally connected compact abelian groups
  75. Projective Limits of Finite-Dimensional Lie Groups
  76. Cardinalities of locally compact groups and their Stone-Čech compactifications
  77. Analysis of the Lotka–Volterra competition equations as a technological substitution model
  78. Compact groups with large abelian subgroups
  79. A structure theorem on compact groups
  80. Reliability of Measurements Obtained With the Timed “Up & Go” Test in People With Parkinson Disease
  81. Transitive Actions of Compact Groups and Topological Dimension
  82. Subgroups of monothetic groups
  83. Suitable sets for topological groups
  84. Nondiscrete topological groups with many discrete subgroups
  85. A topological generalization of the HigmanNeumannNeumann theorem
  86. The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval
  87. Locally compact groups, residual Lie groups, and varieties generated by Lie groups
  88. Australian healthcare: a smart card for a clever country
  89. Locally compact groups with closed subgroups open and p-adic
  90. Open subgroups of free abelian topological groups
  91. Generators for locally compact groups
  92. Generators on the arc component of compact connected groups
  93. Sudden cardiac arrest and a problem in topology
  94. Compact groups and products of the unit interval
  95. Free compact groups IV: splitting the component and the structure of the commutator group
  96. Abstract Algebra and Famous Impossibilities
  97. Free abelian topological groups and adjunction spaces
  98. Weight and c
  99. The Stone-Čech compactification and weakly Fréchet spaces
  100. Locally Compact Groups with every Closed Subgroup of Finite Index
  101. Free abelian topological groups on countable CW-complexes
  102. Locally dyadic topological groups
  103. Topologies on locally compact groups
  104. Sequential Conditions and Free Products of Topological Groups
  105. Free compact groups II: The center
  106. Free compact groups I: Free compact abelian groups
  107. Sequential conditions and free products of topological groups
  108. The circle group
  109. Locally compact topologies on abelian groups
  110. A Characterization of the Topological Group of p -Adic Integers
  111. A characterization of the topological group of real numbers
  112. Free subgroups of free abelian topological groups
  113. Free compact groups I: Free compact abelian groups
  114. Numerical Geometry-Numbers for Shapes
  115. Numerical Geometry-Numbers for Shapes
  116. Local invariance of free topological groups
  117. Metrizability of subgroups of free topological groups
  118. Free products of topological groups with amalgamation. II
  119. Free products of topological groups with amalgamation
  120. An Elementary Proof That the Hilbert Cube is Compact
  121. FREE ABELIAN TOPOLOGICAL GROUPS ON SPHERES
  122. On the average distance property of compact connected metric spaces
  123. A note an homeomorphic measures on topological groups
  124. Characterization of Bases of Subgroups of Free Topological Groups
  125. Free products of kω-topological groups with normal amalgamation
  126. Locally invariant topologies on free groups
  127. Free Products of Topological Groups with Central Amalgamation. I
  128. Free Products of Topological Groups with Central Amalgamation. II
  129. A Free Subgroup of the Free Abelian Topological Group on the unit Interval
  130. Free products of topological groups with central amalgamation. I
  131. Free products of topological groups with central amalgamation. II
  132. On endomorphisms of abelian topological groups
  133. The extension of norms on subgroups of free topological groups
  134. Norms on Free Topological Groups
  135. When is a Function that Satisfies the Cauchy-Riemann Equations Analytic?
  136. When Is a Function That Satisfies the Cauchy-Riemann Equations Analytic?
  137. Locally compact products and coproducts in categories of topological groups
  138. A Note on Free Topological Groupoids
  139. Applications of the Stone-Cech Compactification to Free Topological Groups
  140. Locally compact group topologies on an algebraic free product of groups
  141. The Free Topological Group on a Simply Connected Space
  142. Applications of the Stone-Čech compactification to free topological groups
  143. The free topological group on a simply connected space
  144. Local compactness and local invariance of free products of topological groups
  145. The variety of topological groups generated by the free topological group on [0,1]
  146. Erratum to "Locally Compact Abelian Groups and the Variety of Topological Groups Generated by the Reals"
  147. Closed Subgroups of Products of Reals
  148. Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties
  149. The homotopy groups of ann-fold wedge
  150. Free products of topological groups: Corrigendum
  151. Free Topological Groups with no Small Subgroups
  152. Almost Locally Invariant Topological Groups
  153. Remarks on Varieties of Locally Convex Linear Topological Spaces
  154. Free topological groups with no small subgroups
  155. Free Subgroups of Free Topological Groups
  156. The Topology of Free Products of Topological Groups
  157. Varieties of topological groups and left adjoint functors
  158. Free topological groups and the projective dimension of a locally compact abelian group
  159. Free Topological Groups and the Projective Dimension of a Locally Compact Abelian Group
  160. Invariant metrics on free topological groups
  161. Generating varieties of topological groups
  162. Varieties of Linear Topological Spaces
  163. Varieties of topological groups generated by Lie groups
  164. Quotient Groups of Topological Groups with No Small Subgroups
  165. Locally compact abelian groups and the variety of topological groups generated by the reals
  166. Quotient groups of topological groups with no small subgroups
  167. Varieties of linear topological spaces
  168. On varieties of topological groups generated by solvable groups
  169. Varieties of locally convex topological vector spaces
  170. A topological group characterization of those locally convex spaces having their weak topology
  171. A universal semigroup
  172. Free products of topological groups
  173. Varieties of topological groups III
  174. Varieties of topological groups II
  175. Topologies on finite groups
  176. Varieties of topological groups
  177. The pion-pion interaction in τ decay