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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeOct 21st 2020

I have added pointer to the second of Postnikov’s original articles on the matter:

• M. M. Postnikov, Issledovaniya po gomotopičeskoĭ teorii nepreryvnyh otobraženiĭ. I. Algebraičeskaya teoriya sistem. II. Naturalʹnaya sistema i gomotopičeskiĭ tip. (Russian) $[$_Investigations in homotopy theory of continuous mappings. I. The algebraic theory of systems. II. The natural system and homotopy type._$]$ Trudy Mat. Inst. Steklov. no. 46. Izdat. Akad. Nauk SSSR, Moscow, 1955. (mathnet:tm1182)

Is there any linkable online trace of Postnikov’s first article:

• M. M. Postnikov, Determination of the homology groups of a space by means of the homotopy invariants, Doklady Akad. Nauk SSSR (N.S.) 76: 359–362 (1951)

?

• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeJan 19th 2021

Changed the section number of the HoTT book reference to 7.3 on truncations:

Is there another HoTT reference to mention with a more extensive treatment? Something also to add at Postnikov tower in an (infinity,1)-category.

• CommentRowNumber3.
• CommentAuthorDmitri Pavlov
• CommentTimeJan 19th 2021

Re #1: The journal in which this article was published is being scanned and uploaded here: http://www.mathnet.ru/php/archive.phtml?jrnid=dan&wshow=contents&option_lang=eng

So far they have volumes up to 1957, whereas Postnikov’s 4-page note was published earlier, in 1951.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJan 19th 2021

Thanks for looking into this!