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If $S\times\mathbb{R}$ is homeomorphic to $T\times\mathbb{R}$, and $S$ and $T$ are compact, can we conclude that $S$ and $T$ are homeomorphic?

Compact Metric Spaces and Separability of $C(X,\mathbb{R})$ [duplicate]

Any infinite set of a compact set $K$ has a limit point in $K$?

Why we use the word 'compact' for compact spaces?

Compact topological space with closed graph implies continuity

What do compact sets look like in the rationals?

Compactness and Hausdorffness

Nested open cover and compactness

Is Stone-Čech compactification the only one with universal property?

Is a discrete set inside a compact space necessarily finite?

$(X,\mathscr T)$ is compact $\iff$ every infinite subset of $X$ has a complete limit point in $X$.

Understanding Alexandroff compactification

Proving that $S=\{\frac{1}{n}:n\in\mathbb{Z}\}\cup\{0\}$ is compact using the open cover definition

Isometry in compact metric spaces

Proof that the continuous image of a compact set is compact [duplicate]

Compactness of the set of $n \times n$ orthogonal matrices

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Inverse image of a compact set is compact

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If $S\times\mathbb{R}$ is homeomorphic to $T\times\mathbb{R}$, and $S$ and $T$ are compact, can we conclude that $S$ and $T$ are homeomorphic?

Compact Metric Spaces and Separability of $C(X,\mathbb{R})$ [duplicate]

Any infinite set of a compact set $K$ has a limit point in $K$?

Why we use the word 'compact' for compact spaces?

Compact topological space with closed graph implies continuity

What do compact sets look like in the rationals?

Compactness and Hausdorffness

Nested open cover and compactness

Is Stone-Čech compactification the only one with universal property?

Is a discrete set inside a compact space necessarily finite?

$(X,\mathscr T)$ is compact $\iff$ every infinite subset of $X$ has a complete limit point in $X$.

Understanding Alexandroff compactification

Proving that $S=\{\frac{1}{n}:n\in\mathbb{Z}\}\cup\{0\}$ is compact using the open cover definition

Isometry in compact metric spaces

Proof that the continuous image of a compact set is compact [duplicate]

Compactness of the set of $n \times n$ orthogonal matrices