Number theoretic subsets of the real line of full or null measure

• Journals
• DOI reference: 10.3934/ERA.2025046

Bohr compactification of separable locally convex spaces

• Journals
• DOI reference: 10.3934/era.2025060

Complex Numbers as Powers of Transcendental Numbers

• Journals
• DOI reference: 10.1080/00029890.2025.2540754

Each ζ(n), 5 ≤ n ≤ 25, Is Not a Liouville Number

• Journals
• DOI reference: 10.3390/axioms14080546

Chains of Cantor subspaces of Mahler T-Numbers and the middle-third Cantor set

• Journals
• DOI reference: 10.3934/era.2025321

TRANSCENDENTAL GROUPS

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• DOI reference:

Topology Meets Number Theory

• Journals
• DOI reference: 10.1080/00029890.2024.2363723

Calculating Chance: Card and Casino Games

• Book
• DOI reference: 10.1007/978-3-031-70141-2

Karl Heinrich Hofmann and the Structure of Compact Groups and Pro-Lie Groups

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SIN, COS, EXP AND LOG OF LIOUVILLE NUMBERS

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• DOI reference: 10.1017/S000497272200140X

The Structure of Compact Groups: A Primer for the Student - A Handbook for the Expert

• Book
• DOI reference: 10.1515/9783110695991

ERDOS PROPERTIES OF SUBSETS OF THE MAHLER SET S

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• DOI reference: 10.1017/S0004972723000047

ERDS-LIOUVILLE SETS

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• DOI reference: 10.1017/S0004972722001009

Topological Transcendental Fields

• Journals
• DOI reference: 10.3390/axioms11030118

A continuous homomorphism of a thin set onto a fat set

• Journals
• DOI reference: 10.1017/S0004972722000296

Advances in the theory of compact groups and pro-lie groups in the last quarter century

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• DOI reference: 10.3390/axioms10030190

HILBERT 13: ARE THERE ANY GENUINE CONTINUOUS MULTIVARIATE REAL-VALUED FUNCTIONS?

• Journals
• DOI reference: 10.1090/bull/1698

Embeddings of free topological vector spaces

• Journals
• DOI reference: 10.1017/S000497271900090X

Observations on the separable quotient problem for banach spaces

• Journals
• DOI reference: 10.3390/axioms9010007

The tubby torus as a quotient group

• Journals
• DOI reference: 10.3390/axioms9010011

The separable quotient problem for topological groups

• Journals
• DOI reference: 10.1007/s11856-019-1931-1

A topological group observation on the Banach–Mazur separable quotient problem

• Journals
• DOI reference: 10.1016/j.topol.2019.02.036

EMBEDDING OF THE FREE ABELIAN TOPOLOGICAL GROUP A(X?X) INTO A(X)

• Journals
• DOI reference: 10.1112/S0025579319000123

Separability of topological groups: A survey with open problems

• Journals
• DOI reference: 10.3390/axioms8010003

Subspaces of the free topological vector space on the unit interval

• Journals
• DOI reference: 10.1017/S0004972717000673

Free Subspaces of Free Locally Convex Spaces

• Journals
• DOI reference: 10.1155/2018/2924863

Embedding into free topological vector spaces on compact metrizable spaces

• Journals
• DOI reference: 10.1016/j.topol.2017.09.008

Free topological vector spaces

• Journals
• DOI reference: 10.1016/j.topol.2017.03.006

On varieties of Abelian topological groups with coproducts

• Journals
• DOI reference: 10.1017/S0004972716000654

Density character of subgroups of topological groups

• Journals
• DOI reference: 10.1090/tran/6832

University teaching and internationalising education

• Book Chapters
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Projective limits of finite-dimensional Lie groups

• Journals
• DOI reference: 10.1112/S0024611503014254

Cardinalities of locally compact groups and their stone-cech compactifications

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• DOI reference:

The exponential function of locally connected compact Abelian groups

• Journals
• DOI reference: 10.1515/form.2004.004

The structure of Abelian pro-Lie groups

• Journals
• DOI reference: 10.1007/s00209-004-0685-5

Sophus Lie's third fundamental theorem and the adjoint functor theorem

• Journals
• DOI reference: 10.1515/jgth.2005.8.1.115

The Structure of Compact Groups

• Book
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Lie theory and the structure of pro-lie groups and pro-lie algebras

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The topology of compact groups

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• DOI reference:

Compact groups with large abelian subgroups

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• DOI reference:

A structure theorem on compact groups

• Journals
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Do I belong? Sense of belonging and mental health among older and younger Australian men

• Conference Proceedings
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Quantification of intermarket influence on the Australian All Ordinary Index based on optimization techniques

• Conference Proceedings
• DOI reference: 10.21914/anziamj.v48i0.54

An Open Mapping theorem for pro-Lie groups

• Journals
• DOI reference:

The Lie Theory of Connected Pro-Lie Groups: A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups

• Book
• DOI reference:

Effectiveness of Using Quantified Intermarket Influence for Predicting Trading Signals of Stock Markets

• Conference Proceedings
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Open Mapping Theorem for Topological Groups

• Journals
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Predicting trading signals of stock market indices using neural networks

• Conference Proceedings
• DOI reference: 10.1007/978-3-540-89378-3_53

Varieties of Abelian Topological Groups and Scattered Spaces

• Journals
• DOI reference: 10.1017/S0004972708000877

Identifying and distinguishing various varieties of abelian topological groups

• Journals
• DOI reference: 10.4064/dm458-0-1

On the Pro-Lie Group Theorem and the Closed Subgroup Theorem

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• DOI reference:

Iwasawa's Local Splitting Theorem for Pro-Lie Groups

• Journals
• DOI reference: 10.1515/FORUM.2008.031

Modified neural network algorithms for predicting trading signals of stock market indices

• Journals
• DOI reference: 10.1155/2009/125308

Contributions to the Structure Theory of Connected Pro-Lie Groups

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• DOI reference:

A novel approach for predicting trading signals of a stock market index

• Book Chapters
• DOI reference:

The Structure of Almost Connected Pro-Lie Groups

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• DOI reference:

Local splitting of locally compact groups and pro-Lie groups

• Journals
• DOI reference: 10.1515/JGT.2011.090

Compact homeomorphism groups are profinite

• Journals
• DOI reference: 10.1016/j.topol.2011.09.050

The weights of closed subgroups of a locally compact group

• Journals
• DOI reference: 10.1515/jgt-2012-0012

An open mapping theorem

• Journals
• DOI reference: 10.1017/S000497271500146X

The structure of compact groups

• Book
• DOI reference:

Quantification of intermarket influence on the Australian All Ordinary Index based on optimization techniques

• Journals
• DOI reference:

Varieties of abelian topological groups with coproducts

• Journals
• DOI reference: 10.1007/s00012-015-0351-2

Nonmeasurable subgroups of compact groups

• Journals
• DOI reference: 10.1515/jgth-2015-0034

An overview of topological groups: Yesterday, Today, Tomorrow

• Journals
• DOI reference: 10.3390/axioms5020011

Pro-Lie groups: A survey with open problems

• Journals
• DOI reference: 10.3390/axioms4030294