On Lefschetz periodic point free self-maps

Jaume Llibre; Víctor F. Sirvent

doi:https://doi.org/10.1007/s11784-018-0498-5

On Lefschetz periodic point free self-maps

Jaume Llibre, Víctor F. Sirvent

Department of Mathematics

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

8 Citations (Scopus)

Abstract

© 2018, Springer International Publishing AG, part of Springer Nature. We study the periodic point free maps and Lefschetz periodic point free maps on connected retract of a finite simplicial complex using the Lefschetz numbers. We put special emphasis in the self-maps on the product of spheres and of the wedge sums of spheres.

Original language	English
Article number	38
Journal	Journal of Fixed Point Theory and Applications
Volume	20
Issue number	1
DOIs	https://doi.org/10.1007/s11784-018-0498-5
Publication status	Published - 1 Mar 2018

Keywords

Lefschetz numbers
Lefschetz zeta function
Periodic point
product of spheres
wedge sum of spheres

Access to Document

https://doi.org/10.1007/s11784-018-0498-5

https://ddd.uab.cat/record/199348

Cite this

@article{d48fda6687ee48bc82ea13c320d28e7c,

title = "On Lefschetz periodic point free self-maps",

abstract = "{\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature. We study the periodic point free maps and Lefschetz periodic point free maps on connected retract of a finite simplicial complex using the Lefschetz numbers. We put special emphasis in the self-maps on the product of spheres and of the wedge sums of spheres.",

keywords = "Lefschetz numbers, Lefschetz zeta function, Periodic point, product of spheres, wedge sum of spheres",

author = "Jaume Llibre and Sirvent, {V{\'i}ctor F.}",

year = "2018",

month = mar,

day = "1",

doi = "https://doi.org/10.1007/s11784-018-0498-5",

language = "English",

volume = "20",

journal = "Journal of Fixed Point Theory and Applications",

issn = "1661-7738",

publisher = "Springer Science + Business Media",

number = "1",

}

TY - JOUR

T1 - On Lefschetz periodic point free self-maps

AU - Llibre, Jaume

AU - Sirvent, Víctor F.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - © 2018, Springer International Publishing AG, part of Springer Nature. We study the periodic point free maps and Lefschetz periodic point free maps on connected retract of a finite simplicial complex using the Lefschetz numbers. We put special emphasis in the self-maps on the product of spheres and of the wedge sums of spheres.

AB - © 2018, Springer International Publishing AG, part of Springer Nature. We study the periodic point free maps and Lefschetz periodic point free maps on connected retract of a finite simplicial complex using the Lefschetz numbers. We put special emphasis in the self-maps on the product of spheres and of the wedge sums of spheres.

KW - Lefschetz numbers

KW - Lefschetz zeta function

KW - Periodic point

KW - product of spheres

KW - wedge sum of spheres

U2 - https://doi.org/10.1007/s11784-018-0498-5

DO - https://doi.org/10.1007/s11784-018-0498-5

M3 - Article

SN - 1661-7738

VL - 20

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 1

M1 - 38

ER -

On Lefschetz periodic point free self-maps

Abstract

Keywords

Access to Document

Fingerprint

Cite this