Closed structures on categories of topological spaces

Činčura, Juraj

doi:10.1016/0166-8641(85)90078-1

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1986

2001

Publication Types

Select...

Article4

Book2

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 7 publications

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [1], it is proven that in the category Top of topological spaces and in the category of To-spaces, there exists only one tensor product (up to isomorphism). In [2], it is established that the category of pseudoradial spaces admits at most two tensor products and that the category of Hausdorff pseudoradial spaces admits exactly two tensor products. B.…”

Section: Introductionmentioning

confidence: 99%

On Tensor Products in Concrete Categories

Pop¹

2000

Demonstratio Mathematica

View full text Add to dashboard Cite

Abstract. In this paper we consider the notion of tensor product in a concrete category, in the sense of [5]. For such a tensor product, which we refer as a concrete tensor product we study some important properties: commutativity, associativity, epifunctoriality and zero object. We also consider examples and some special properties of tensor products and of concrete categories with tensor products for: arbitrary topological spaces, compact spaces, left modules, right //-comodules and left //-modules, for H a Hopf algebra.

show abstract

Section: Introductionmentioning

confidence: 99%