S. Mandal

collaborators

7 papers

math.AT2026

Stable Complex Structures On Real Vector Bundles Over Connected Sums Of Quaternionic Projective Spaces

Souvik Mandal

For integers $n \geq 2$ and integers $ℓ, m \geq 0$ , not both zero, let $M_{ℓ, m}^{4 n} = ℓ HP^{n} # m HP^{n}$ denote the connected sum of $ℓ$ c…

math.AT2026

Complex and Stable Complex Structures on Real Vector Bundles over Connected Sums of Quaternionic Projective Planes

Souvik Mandal

Let $M_{ℓ, m} = ℓ HP^{2} # m HP^{2}$ be the connected sum of $ℓ$ copies of $HP^{2}$ with $m$ copies of $HP^{2}$ endowed with…

math.GN2026

A Precise Treatment of Soft Quotient Topology and Soft Covering Maps

Souvik Mandal, Ankur Sarkar

We develop a foundational theory of soft quotient topology, providing a systematic approach to quotient constructions in soft topological spaces. We establish the universal propert…

math.GN2026

A Coprimality Topology on the Gaussian Integers: Kolmogorov Quotient and Gaussian Prime Density

Souvik Mandal

This article investigates the coprimality topology on the set of non-zero Gaussian integers, $Z [i] ∖ {0}$ , generated by the arithmetic basis $σ_α=\{β\neq 0 : \gcd(…

math.AT2026

Relative Smooth Surgery Structure Sets of Thickenings of the Cayley Projective Plane and Applications

Souvik Mandal, Ankur Sarkar

We compute the relative smooth surgery structure sets of the thickenings $OP^{2} \times D^{k}$ of the Cayley projective plane $OP^{2}$ for every $k \geq 1$ …

math.GN2026

Countable Fan Tightness and Selection Games in Group-Valued Function Spaces

Souvik Mandal, Ankur Sarkar

Game-theoretic characterizations of selection principles provide a powerful framework for analyzing covering properties through strategic interactions. For a Tychonoff space $X$ an…

math.GN2026

Prime Density, Kolmogorov Quotients and Homeomorphisms between Macías Spaces of Integral Domains

Souvik Mandal, Ankur Sarkar

For an integral domain $R$ that is not a field, the Macías space $M (R)$ is the set $R^{0} = R ∖ {0}$ endowed with the topology generated by the subsets $σ_k^0=\{x\in R^0:\langl…