Title : ( Homotopical properties of wild spaces )
Authors: Fateme Helen Ghane Ostadghassemi , hadi passandideh ,
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Abstract
In this paper, we provide a nerve theorem for locally wellbehaved spaces and apply it to provide a generalization of Shella’ Theorem to higher homotopy groups for compact and noncompact spaces. Also, we discuss n-homotopically Hausdorff property which is a separation axiom for n-loops and show that each subset of R n+1 is nhomotopically Hausdorff. Moreover, the concept of a Hawaiian n-wild point will be studied.
Keywords
, homotopy groups; n, homotopically Hausdorff property; nerve of a cover; n, wild point.
@inproceedings{paperid:1053811,
author = {Ghane Ostadghassemi, Fateme Helen and Passandideh, Hadi},
title = {Homotopical properties of wild spaces},
booktitle = {8th Seminar on Geometry and Topology},
year = {2015},
location = {تهران, IRAN},
keywords = {homotopy groups; n-homotopically Hausdorff property; nerve of a cover; n-wild point.},
}
%0 Conference Proceedings
%T Homotopical properties of wild spaces
%A Ghane Ostadghassemi, Fateme Helen
%A Passandideh, Hadi
%J 8th Seminar on Geometry and Topology
%D 2015
