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P. Akhmet’ev

3 papers hereh-index 7151 citations51 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author3

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.GT2
  • math.AT1

identity via Semantic Scholar / OpenAlex

most citedGeometric approach towards stable homotopy groups of spheres. The Kervaire invariant II

4 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2008★ 4 cited

Geometric approach towards stable homotopy groups of spheres. The Kervaire invariant II

Petr M. Akhmet'ev

The notion of the geometrical Z/2⊕Z/2--control of self-intersection of a skew-framed immersion and the notion of the Z/2⊕Z/4-structure (the cyclic structure)…

math.GT2008★ 1 cited

Geometric approach towards stable homotopy groups of spheres. The Steenrod-Hopf invariant I

Petr M. Akhmet'ev

In this paper a geometric approach toward stable homotopy groups of spheres, based on the Pontrjagin-Thom construction is proposed. From this approach a new proof of Hopf Invariant…

math.AT2007★ 4 cited

Geometric approach towards stable homotopy groups of spheres. The Hopf invariant

Petr M. Akhmet'ev

We develop a geometric approach to stable homotopy groups of spheres in the spirit of the work of Pontrjagin and Rokhlin. A new proof of the Hopf Invariant One Theorem by J.F.Adams…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.