#### 155 Citations

Resolvability of topological groups

- Mathematics
- 2016

A research project submitted
in partial fulfilment of the requirements
for the degree of Master of Science
School of Mathematics,
University Of Witwatersrand
18 May 2016

Cardinal functions Fθ(X) and tθ(X) for H-closed spaces

- Mathematics
- 2014

Abstract This article extends the results proved by Cammaroto and Kočinac in 1993 by showing that tθ(X) = tθ(Xs) = t(Xs) = Fθ(X) = Fθ(Xs) = F(Xs) for every H-closed and Urysohn space. Examples are… Expand

Sequences and nets in topology

- Mathematics
- 2010

In a metric space, such as the real numbers with their standard metric, a set A is open if and only if no sequence with terms outside of A has a limit inside A. Moreover, a metric space is compact if… Expand

Products of Compact Spaces and the Axiom of Choice

- Computer Science
- Math. Log. Q.
- 2002

The Tychonoff Compactness Theorem is studied for several different definitions of a compact space by researchers at the University of California, Berkeley. Expand

Monoidal topology : a categorical approach to order, metric, and topology

- Mathematics
- 2014

Preface 1. Introduction Robert Lowen and Walter Tholen 2. Monoidal structures Gavin J. Seal and Walter Tholen 3. Lax algebras Dirk Hofmann, Gavin J. Seal and Walter Tholen 4. Kleisli monoids Dirk… Expand

Tychonoff reflection in products and the -topology on function spaces

- Mathematics
- 1990

We show that if X is a topological space such that CR(X), the topology on X generated by the cozero sets, is not locally compact, then there is a regular space Y such that CR(X x Y) / CR(X) x CR(Y).… Expand

The ksmt calculus is a $\delta$-complete decision procedure for non-linear constraints

- Computer Science
- 2021

Property of the ksmt calculus is investigated and it is shown that it is a δ-complete decision procedure for bounded problems and an extension with local linearisations is proposed, which allow for more efficient treatment of non-linear constraints. Expand

Compactness in MV-topologies: Tychonoff theorem and Stone–Čech compactification

- Mathematics, Computer Science
- Arch. Math. Log.
- 2020

This paper presents a Tychonoff theorem for such a class of fuzzy topological spaces and shows an extension of the Stone–Čech compactification functor to the category of MV-topological spaces, and discusses its relationship with previous works on compactification for fuzzyTopological spaces. Expand

The Tikhonov and Alaoglu–Bourbaki Theorems

- Mathematics
- 2020

The central result of this chapter is the Alaoglu–Bourbaki theorem: Polars of neighbourhoods of zero in a locally convex space E are σ(E′, E)-compact subsets of E′. As a consequence in a dual pair… Expand

#### References

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