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ADVANCESINYIATHEMATICS32, 233279Obstructions(1979)to Homotopy STEPIENDefmrtmnt U&ersityEquivalencesHALPERIKof Mathematics, West Hill,of Tormto,Scarborough Ontario MICCollege 1114, CanadaANDJAMESSTASHEFFrln obstruction theory is developed to decide when an isomarphism of rational cohomology can be reaked by a rational homotopy equivalence (either between rationally nilpotent spaces, or between commutative graded differential algebras). This is used to show that

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What is to homotopy?

Homotopy is a concept in topology that studies the properties of spaces that are preserved under continuous transformations. It focuses on the idea of deforming one function or shape into another without cutting or gluing.

Who is required to file to homotopy?

In a mathematical context, individuals studying topology or involved in research related to continuous functions and spaces might engage with homotopy. In a legal or tax context, the term 'to homotopy' seems unclear and may not apply.

How to fill out to homotopy?

If referring to a mathematical context, there are no forms to fill out. If referring to a legal or tax context, please clarify the intended form or document for further assistance.

What is the purpose of to homotopy?

The purpose of studying homotopy is to understand the fundamental properties of spaces in topology, particularly how they can be transformed and the relationships between different spaces.

What information must be reported on to homotopy?

In a mathematical sense, one might report properties of functions, spaces, and mappings relevant to homotopy. In a legal context, further clarification is necessary.