A description of the topology of free topological vector spaces

Saak Gabriyelyan

doi:https://doi.org/10.48550/arXiv.1804.05199

A description of the topology of free topological vector spaces

Saak Gabriyelyan

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Working paper › Preprint

Abstract

The free topological vector space (tvs) V(X) over a Tychonoff space X is defined and studied by Sidney A. Morris and the author in [2]. A description of the topology of the free tvs V(X) over a uniform space X is given in [1]. In this note we give a similar but simpler and clearer description of the topology of free tvs V(X) over a Tychonoff space X.

Original language	American English
DOIs	https://doi.org/10.48550/arXiv.1804.05199
State	Published - 14 Apr 2018

Keywords

43A40, 54H11
math.GN

Access to Document

https://doi.org/10.48550/arXiv.1804.05199

Cite this

@techreport{d9c8576ec73140f88d1457e598d9bd54,

title = "A description of the topology of free topological vector spaces",

abstract = "The free topological vector space (tvs) V(X) over a Tychonoff space X is defined and studied by Sidney A. Morris and the author in [2]. A description of the topology of the free tvs V(X) over a uniform space X is given in [1]. In this note we give a similar but simpler and clearer description of the topology of free tvs V(X) over a Tychonoff space X.",

keywords = "43A40, 54H11, math.GN",

author = "Saak Gabriyelyan",

year = "2018",

month = apr,

day = "14",

doi = "https://doi.org/10.48550/arXiv.1804.05199",

language = "American English",

type = "WorkingPaper",

}

TY - UNPB

T1 - A description of the topology of free topological vector spaces

AU - Gabriyelyan, Saak

PY - 2018/4/14

Y1 - 2018/4/14

N2 - The free topological vector space (tvs) V(X) over a Tychonoff space X is defined and studied by Sidney A. Morris and the author in [2]. A description of the topology of the free tvs V(X) over a uniform space X is given in [1]. In this note we give a similar but simpler and clearer description of the topology of free tvs V(X) over a Tychonoff space X.

AB - The free topological vector space (tvs) V(X) over a Tychonoff space X is defined and studied by Sidney A. Morris and the author in [2]. A description of the topology of the free tvs V(X) over a uniform space X is given in [1]. In this note we give a similar but simpler and clearer description of the topology of free tvs V(X) over a Tychonoff space X.

KW - 43A40, 54H11

KW - math.GN

U2 - https://doi.org/10.48550/arXiv.1804.05199

DO - https://doi.org/10.48550/arXiv.1804.05199

M3 - Preprint

BT - A description of the topology of free topological vector spaces

ER -

A description of the topology of free topological vector spaces

Abstract

Keywords

Access to Document

Fingerprint

Cite this