THE COHERENT HOMOTOPY CATEGORY OVER A FIXED SPACE IS A CATEGORY OF FRACTIONS

被引：5

作者：

HARDIE, KA

KAMPS, KH

PORTER, T

机构：

[1] UNIV CAPE TOWN,DEPT MATH,RONDEBOSCH 7700,SOUTH AFRICA

[2] FERNUNIVGESAMTHSCH HAGEN,FACHBEREICH MATH & INFORMAT,W-5800 HAGEN,GERMANY

[3] UNIV COLL N WALES,SCH MATH,BANGOR LL57 1UT,GWYNEDD,WALES

来源：

TOPOLOGY AND ITS APPLICATIONS | 1991年 / 40卷 / 03期

关键词：

HOMOTOPY COHERENCE; HOMOTOPY OVER B; TRACK; CATEGORY OF FRACTIONS; HOMOTOPY EQUIVALENCE;

D O I：

10.1016/0166-8641(91)90109-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove that the coherent homotopy category H(B) over a fixed space B with morphisms represented by certain homotopy commutative squares (see [8]) is isomorphic to the category obtained by formally inverting those maps in the category Top(B) of topological spaces over B which are ordinary homotopy equivalences.

引用

页码：265 / 274

页数：10

共 11 条

[1]

BAUER FW, 1969, T AM MATH SOC, V140, P239

[2]

Cordier J.-M., 1982, CAH TOPOL GEOM DIFFE, V23, P93

[3] VOGTS THEOREM ON CATEGORIES OF HOMOTOPY COHERENT DIAGRAMS [J].