A note on fixed point free involutions and equivariant maps

Jack Ucci

doi:10.1090/S0002-9939-1972-0298656-2

A note on fixed point free involutions and equivariant maps

Jack Ucci

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The space P(Sⁿ) of all paths co in Sⁿ with given initial point x and endpoint — x admits an involution (Tw)(t) = -w(1-t). With the standard antipodal involution on S^n-1 an equivariant map P(Sⁿ) -S^n-1 is constructed for n = 2, 4, or 8.

Original language	English (US)
Pages (from-to)	297-298
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	31
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1972-0298656-2
State	Published - Jan 1972

Keywords

Co-index
Equivariant map
Fixed point free involution

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-1972-0298656-2

Cite this

@article{445cc99e3c574110a647255372e9ea92,

title = "A note on fixed point free involutions and equivariant maps",

abstract = "The space P(Sn) of all paths co in Sn with given initial point x and endpoint — x admits an involution (Tw)(t) = -w(1-t). With the standard antipodal involution on Sn-1 an equivariant map P(Sn) -Sn-1 is constructed for n = 2, 4, or 8.",

keywords = "Co-index, Equivariant map, Fixed point free involution",

author = "Jack Ucci",

year = "1972",

month = jan,

doi = "10.1090/S0002-9939-1972-0298656-2",

language = "English (US)",

volume = "31",

pages = "297--298",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - A note on fixed point free involutions and equivariant maps

AU - Ucci, Jack

PY - 1972/1

Y1 - 1972/1

N2 - The space P(Sn) of all paths co in Sn with given initial point x and endpoint — x admits an involution (Tw)(t) = -w(1-t). With the standard antipodal involution on Sn-1 an equivariant map P(Sn) -Sn-1 is constructed for n = 2, 4, or 8.

AB - The space P(Sn) of all paths co in Sn with given initial point x and endpoint — x admits an involution (Tw)(t) = -w(1-t). With the standard antipodal involution on Sn-1 an equivariant map P(Sn) -Sn-1 is constructed for n = 2, 4, or 8.

KW - Co-index

KW - Equivariant map

KW - Fixed point free involution

UR - http://www.scopus.com/inward/record.url?scp=84968495771&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968495771&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1972-0298656-2

DO - 10.1090/S0002-9939-1972-0298656-2

M3 - Article

AN - SCOPUS:84968495771

SN - 0002-9939

VL - 31

SP - 297

EP - 298

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

A note on fixed point free involutions and equivariant maps

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this