# Shape theory intrinsically.

Publicacions Matemàtiques (1993)

- Volume: 37, Issue: 2, page 317-334
- ISSN: 0214-1493

## Access Full Article

top## Abstract

top## How to cite

topCerin, Zvonko. "Shape theory intrinsically.." Publicacions Matemàtiques 37.2 (1993): 317-334. <http://eudml.org/doc/41429>.

@article{Cerin1993,

abstract = {We prove in this paper that the category HM whose objects are topological spaces and whose morphisms are homotopy classes of multi-nets is naturally equivalent to the shape theory Sh. The description of the category HM was given earlier in the article "Shape via multi-nets". We have shown there that HM is naturally equivalent to Sh only on a rather restricted class of spaces. This class includes all compact metric spaces where a similar intrinsic description of the shape category using multi-valued functions was given by José M. R. Sanjurjo in [5] and [6].},

author = {Cerin, Zvonko},

journal = {Publicacions Matemàtiques},

keywords = {Teoría de la forma; Categorías; Espacios topológicos; Clases de homotopía; Functores; multi-net; multivalued maps; shape of metric compacta; homotopy theory of normal covers; multivalued functions},

language = {eng},

number = {2},

pages = {317-334},

title = {Shape theory intrinsically.},

url = {http://eudml.org/doc/41429},

volume = {37},

year = {1993},

}

TY - JOUR

AU - Cerin, Zvonko

TI - Shape theory intrinsically.

JO - Publicacions Matemàtiques

PY - 1993

VL - 37

IS - 2

SP - 317

EP - 334

AB - We prove in this paper that the category HM whose objects are topological spaces and whose morphisms are homotopy classes of multi-nets is naturally equivalent to the shape theory Sh. The description of the category HM was given earlier in the article "Shape via multi-nets". We have shown there that HM is naturally equivalent to Sh only on a rather restricted class of spaces. This class includes all compact metric spaces where a similar intrinsic description of the shape category using multi-valued functions was given by José M. R. Sanjurjo in [5] and [6].

LA - eng

KW - Teoría de la forma; Categorías; Espacios topológicos; Clases de homotopía; Functores; multi-net; multivalued maps; shape of metric compacta; homotopy theory of normal covers; multivalued functions

UR - http://eudml.org/doc/41429

ER -

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.