Size homotopy group
id:
size-homotopy-group-292-13919179
title:
Size homotopy group
text:
The concept of size homotopy group is analogous in size theory of the classical concept of homotopy group. In order to give its definition, let us assume that a size pair is given, where M is a closed manifold of class C 0 and φ : M → R k is a continuous function. Consider the lexicographical order ⪯ on R k defined by setting ⪯ if and only if x 1 ≤ y 1 , … , x k ≤ y k . For every Y ∈ R k set M Y = { Z ∈ R k : Z ⪯ Y } . Assume that P ∈ M X and X ⪯ Y . If α , β are two paths from P t
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Size_homotopy_group
date created:
date modified:
2024-03-13T20:54:56Z
main entity:
{"identifier":"Q7533425","url":"https://www.wikidata.org/entity/Q7533425"}
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13
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