A Group-theoretical Finiteness Theorem

Corrado Tanasi; Valentin Poénaru; Corrado Tanasi

A Group-theoretical Finiteness Theorem

Corrado Tanasi, Valentin Poénaru, Corrado Tanasi

Matematica e Informatica

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

3 Citations (Scopus)

Abstract

We start with the universal covering space $\tilde M^n$ of a closed n-manifold and with a tree of fundamental domains which zips it $T\longarrow \tilde M^n$. Our result is that, between $T$ and $\tilde M^n$, is an intermediary object , $T\rto^p G \rTo^F \tilde M^n$, obtained by zipping, such that each fiber of p is FINITE and $T\rto^p G \rTo^F \tilde M^n$ admits a SECTION.

Original language	English
Pages (from-to)	1-25
Number of pages	25
Journal	Geometriae Dedicata
Volume	137
Publication status	Published - 2008

All Science Journal Classification (ASJC) codes

Geometry and Topology

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title = "A Group-theoretical Finiteness Theorem",

abstract = "We start with the universal covering space $\tilde M^n$ of a closed n-manifold and with a tree of fundamental domains which zips it $T\longarrow \tilde M^n$. Our result is that, between $T$ and $\tilde M^n$, is an intermediary object , $T\rto^p G \rTo^F \tilde M^n$, obtained by zipping, such that each fiber of p is FINITE and $T\rto^p G \rTo^F \tilde M^n$ admits a SECTION.",

keywords = "Cayley 2-complex, Developing maps, PL-structure, Partial section, Cayley 2-complex, Developing maps, PL-structure, Partial section",

author = "Corrado Tanasi and Valentin Po{\'e}naru and Corrado Tanasi",

year = "2008",

language = "English",

volume = "137",

pages = "1--25",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

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TY - JOUR

T1 - A Group-theoretical Finiteness Theorem

AU - Tanasi, Corrado

AU - Poénaru, Valentin

AU - Tanasi, Corrado

PY - 2008

Y1 - 2008

N2 - We start with the universal covering space $\tilde M^n$ of a closed n-manifold and with a tree of fundamental domains which zips it $T\longarrow \tilde M^n$. Our result is that, between $T$ and $\tilde M^n$, is an intermediary object , $T\rto^p G \rTo^F \tilde M^n$, obtained by zipping, such that each fiber of p is FINITE and $T\rto^p G \rTo^F \tilde M^n$ admits a SECTION.

AB - We start with the universal covering space $\tilde M^n$ of a closed n-manifold and with a tree of fundamental domains which zips it $T\longarrow \tilde M^n$. Our result is that, between $T$ and $\tilde M^n$, is an intermediary object , $T\rto^p G \rTo^F \tilde M^n$, obtained by zipping, such that each fiber of p is FINITE and $T\rto^p G \rTo^F \tilde M^n$ admits a SECTION.

KW - Cayley 2-complex

KW - Developing maps

KW - PL-structure

KW - Partial section

KW - Cayley 2-complex

KW - Developing maps

KW - PL-structure

KW - Partial section

UR - http://hdl.handle.net/10447/54657

M3 - Article

VL - 137

SP - 1

EP - 25

JO - Geometriae Dedicata

JF - Geometriae Dedicata

SN - 0046-5755

ER -

A Group-theoretical Finiteness Theorem

Abstract

All Science Journal Classification (ASJC) codes

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