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Publications Influence

Topological Properties of Manifolds

- D. Gauld
- Mathematics
- 1 June 1974

In this chapter we investigate the consequences for a manifold, when certain topological properties are assumed. In particular, we develop an important analytical tool, called partition of unity. 5.1… Expand

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Non-metrisable Manifolds

- D. Gauld
- Mathematics
- 5 December 2014

Topological Manifolds.- Edge of the World: When are Manifolds Metrisable?.- Geometric Tools.- Type I Manifolds and the Bagpipe Theorem.- Homeomorphisms and Dynamics on Non-Metrisable Manifolds.- Are… Expand

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Spaces with property pp

- P. Gartside, D. Gauld, A. M. Mohamad
- Mathematics
- 1 September 2006

Abstract This paper continues the study of pp spaces. It is shown that under a wide variety of circumstances, pp spaces are paracompact. However, examples of pp non-paracompact spaces are given, some… Expand

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Metrisability of Manifolds

- D. Gauld
- Mathematics
- 5 October 2009

Manifolds have uses throughout and beyond Mathematics and it is not surprising that topologists have expended a huge effort in trying to understand them. In this article we are particularly… Expand

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Did the Young Volterra Know About Cantor

- D. Gauld
- Mathematics
- 1 October 1993

In [3], Dunham recalls Volterra's proof [5] that any two functions from DR to itself that are continuous on dense subsets of DR have a common point of continuity. The only use of the completeness… Expand

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A strongly hereditarily separable, nonmetrisable manifold

- D. Gauld
- Mathematics
- 29 July 1993

Abstract Assuming the Continuum Hypothesis, a nonmetrisable manifold is constructed, all of whose finite powers are hereditarily separable.

6 1

Enriched lattice-valued convergence groups

- T. Ahsanullah, D. Gauld, Jawaher Al-Mufarrij, F. Al-Thukair
- Mathematics, Computer Science
- Fuzzy Sets Syst.
- 1 March 2014

TLDR

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ENRICHED LATTICE-VALUED TOPOLOGICAL GROUPS

- T. Ahsanullah, D. Gauld, Jawaher Al-Mufarrij, F. Al-Thukair
- Mathematics
- 18 March 2014

In this paper, we focus on enriched cl-premonoid-valued topological groups, and their so-called change-of-basis lattice. In so doing, we take L as an enriched cl-premonoid and present a category… Expand

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Homogeneous and inhomogeneous manifolds

- P. Gartside, D. Gauld, S. Greenwood
- Mathematics
- 6 May 2008

All metaLindelof, and most countably paracompact, homogeneous manifolds are Hausdorff. Metacompact manifolds are never rigid. Every countable group can be realized as the group of autohomeomorphisms… Expand

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