Directed homology

Uli Fahrenberg

doi:10.1016/j.entcs.2004.09.005

Directed homology

Uli Fahrenberg

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

10 Citationer (Scopus)

Abstract

We introduce a new notion of directed homology for semicubical sets. We show that it respects directed homotopy and is functorial, and that it appears to enjoy some good algebraic properties. Our work has applications to higher-dimensional automata.

Originalsprog	Engelsk
Titel	CONCUR 2003 : CMCIM and GETCO
Redaktører	T. Hildebrandt, A. Kurz, E. Goubault, U. Fahrenberg
Publikationsdato	2004
Sider	111-125
DOI	https://doi.org/10.1016/j.entcs.2004.09.005
Status	Udgivet - 2004
Begivenhed	Directed homology - Varighed: 19 maj 2010 → …

Konference

Konference	Directed homology
Periode	19/05/2010 → …

Bibliografisk note

Serie: Electronic Notes in Theoretical Computer Science, 100, 1571-0661

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10.1016/j.entcs.2004.09.005

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Citationsformater

@inproceedings{aeb74110279411db8514000ea68e967b,

title = "Directed homology",

abstract = "We introduce a new notion of directed homology for semicubical sets. We show that it respects directed homotopy and is functorial, and that it appears to enjoy some good algebraic properties. Our work has applications to higher-dimensional automata.",

keywords = "cubical sets, directed homoglogy, directed homotopy, directed topology",

author = "Uli Fahrenberg",

note = "Serie: Electronic Notes in Theoretical Computer Science, 100, 1571-0661 ; Directed homology ; Conference date: 19-05-2010",

year = "2004",

doi = "10.1016/j.entcs.2004.09.005",

language = "English",

pages = "111--125",

editor = "T. Hildebrandt and A. Kurz and E. Goubault and U. Fahrenberg",

booktitle = "CONCUR 2003",

}

TY - GEN

T1 - Directed homology

AU - Fahrenberg, Uli

N1 - Serie: Electronic Notes in Theoretical Computer Science, 100, 1571-0661

PY - 2004

Y1 - 2004

N2 - We introduce a new notion of directed homology for semicubical sets. We show that it respects directed homotopy and is functorial, and that it appears to enjoy some good algebraic properties. Our work has applications to higher-dimensional automata.

AB - We introduce a new notion of directed homology for semicubical sets. We show that it respects directed homotopy and is functorial, and that it appears to enjoy some good algebraic properties. Our work has applications to higher-dimensional automata.

KW - cubical sets

KW - directed homoglogy

KW - directed homotopy

KW - directed topology

U2 - 10.1016/j.entcs.2004.09.005

DO - 10.1016/j.entcs.2004.09.005

M3 - Article in proceeding

SP - 111

EP - 125

BT - CONCUR 2003

A2 - Hildebrandt, T.

A2 - Kurz, A.

A2 - Goubault, E.

A2 - Fahrenberg, U.

T2 - Directed homology

Y2 - 19 May 2010

ER -

Directed homology

Abstract

Konference

Bibliografisk note

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